MATHEMATICS MIDDLE SCHOOL

Terrence and Lee were selling magazines for a charity. In the first week, Terrance sold 30% more than Lee. In the second week, Terrance sold 12 magazines, but Lee did not sell any. If Terrance sold 50% more than Lee by the end of the second week, how many magazines did Lee sell?Choose any model to solve the problem. Show your work to justify your answer.

Answers

Answer 1

Answer:

Lee sold 60 magazine

Step-by-step explanation:

Terrence and Lee were selling magazines for a charity

In the first week, Terrance sold 30% more than Lee
In the second week, Terrance sold 12 magazines, but Lee did not sell any
Terrance sold 50% more than Lee by the end of the second week

We need to find how many magazines Lee sold

Assume that Lee sold x magazines

∵ Terrance sold 30% more than Lee in the first week

∵ Lee sold x magazines in the first week

- Find 30% of x and add it to x to find how many magazines

Terrance sold

∵ Terrance sold = 30% × x + x

∴ Terrance sold = $(30)/(100)$ × x + x = 0.3 x + x

∴ Terrance sold = 1.3 x magazines in the first week

∵ Terrance sold 12 magazines in the second week

- Add 1.3 x to 12 to find the number of magazines that Terrence

sold in the two weeks

∴ Terrence sold 1.3 x + 12 magazines in the two weeks

∵ Lee did not sell any in the next week

∴ Lee sold x magazines in the two weeks

∵ Terrance sold 50% more than Lee by the end of the 2nd week

- Equate 1.3 x + 12 by the sum of x and 50% of x

∴ 1.3 x + 12 = 50% × x + x

∵ 50% × x = $(50)/(100)$ × x = 0.5 x

∴ 1.3 x + 12 = 0.5 x + x

- Add the like terms in the right hand side

∴ 1.3 x + 12 = 1.5 x

- Subtract 1.3 x from both sides

∴ 12 = 0.2 x

- Divide both sides by 0.2

∴ 60 = x

Lee sold 60 magazine

Learn more:

You can learn more about the percentage in brainly.com/question/12284722

#LearnwithBrainly

Related Questions

Sandra deposited $2,500 into a simple interest account. She earned $75 in interest after 1 year. Ron deposited $8,000 into an account that has the same interest rate as Sandra’s account. How much money did Ron earn in interest after 1 year? Show your work please 30 points!!!HURRY PLEASE!!!!!!
I need the answer to this question quick..
Which is more 0.02 or 0.1 ?
Which statements are symmetric reflexive or transitive
In the LCM of 3a^2b^4c^5 and 7a4bc^2, what is the exponent on the b? A)1 B)4 C)5 D)6Sorry that I suck at math!~ -Katie

15% of Alina’s workout consisted of cardio exercise. 25% of Dane’s workout consisted of cardio exercise. Which statement must be true?If they worked out for the same amount of time, Dane did 10 more minutes of cardio exercise than Alina.

If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.

If both workouts were 60 minutes, Dane spent 8 more minutes on cardio exercise than Alina did.

Alina spent less time on cardio exercise than Dane did.

Answers

Answer:

If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.

Step-by-step explanation:

For option A,

If they both workout for $x$ minutes,

Alina's time is

$=0.15x$

and Dane's time is

$=0.25x$

The difference is

$0.25x-0.15x=0.1x$

If they both work out for 100 minutes, then Dane did 10 more minutes of cardio exercise than Alina.

Since $x$ is not fixed, this statement is false.

For option B,

If Alina's work out was 80 minutes, then she spent $0.15*80=12$ minutes on cardio exercise.

If Dane's work out was 48 minutes, then he spent $0.25*48=12$ minutes on cardio exercise.

Hence both spent the same amount of time on cardio exercise.

The correct answer is option B

For option C,

If they both workout for $60$ minutes, then

Alina's time is

$=0.15* 60=9$

and Dane's time is

$=0.25*60=15$

The difference is

$15-9=6$

If they both work out for 60 minutes, then Dane did 9 more minutes of cardio exercise than Alina and not 10.

This statement is false

For option D,

We cannot tell whether Alina spent more or less time than Dane,unless we know the time both spent for the entire work out.

Since the time difference depends on the initial amount of time, answer #1 is not right
Next, #3 is also not right since the difference is way to great.
Next, #4, we cannot tell how long the workouts of both were, so this is not right either
Therefore, #2 is the right answer
Hope this helped!! :D

Sorry for the computer quality lol but can someone please help ?

Answers

Answer:

a=(-1,0) b=(0,3) c=(-2,2)

Step-by-step explanation:

If you want to watch a 2 hour movie that starts at 4PM and you want to watch a 3 hour movie that starts at 2PM,there is a schedule conflict.

A: True

B : False

Answers

True.

A 3 hour movie that starts at 2PM would end at 5PM (2 + 3 = 5) which is an hour past the 4PM time.

true, if you start the three hour movie at 2pm then you will be done with that one at five, while the other one starts at four so you would miss an hour of it

7k^2-16k+100=0 using completing the square ?

Answers

$7k^2-16k+100=0$

$7k^2-16k=-100$

Add a squared constant to both sides:

$7k^2-16k+c^2=c^2-100$

On the left, we wish to condense the quadratic into a squared binomial,

$(\sqrt7\,k-c)^2$

Expanding this gives

$7k^2-2c\sqrt7\,k+c^2$

which tells us

$-2c\sqrt7=-16\implies c=\frac8{\sqrt7}$

Then $c^2=\frac{64}7$ , and

$\left(\sqrt7\,k-\frac8{\sqrt7}\right)^2=\frac{64}7-100$

$\left(\sqrt7\,k-\frac8{\sqrt7}\right)^2=-\frac{636}7$

If you're looking for real-valued solutions, there are none, since the square root of a negative number doesn't exist... but if you're allowing complex-valued solutions, we can take the square root of both sides to get

$\sqrt7\,k-\frac8{\sqrt7}=\pm 2i\sqrt{\frac{259}7}$

Multiply both sides by $\sqrt 7$ to eliminate denominators, then solve for $k$ :

$7k-8=\pm 2i√(259)$

$7k=8\pm 2i√(259)$

$\boxed{k=\frac{8\pm2i√(259)}7}$

So I know that |-5| =5 but what does this -|-5| equal? and explain why

Answers

absolute value
means whatever is inside is positive, once we resolve the inside, work out

|-5|=5

now -5=?=-5

answer is -5 since - of + is negaitve
if you don't get it still think like this

|-5|=5
mulitp;ly by -1 everybody
-|-5|=-5

Please do the area and perimeter and show your work!

Answers

number 1 is 12 for the area and 12 for the perimeter number 2 is 29 for the area and the perimeter is 24

Other Questions

Create a fraction with a denominator of 100 that is equivalent to 2/10

Find the next three terms of the sequence.-4, -8, -16, -32A)-96, -288, -864B) -64, -128, -256C) -64, -288, -256D) -36, -40, -44

What is the complex number V-36 + 10?

Which of the following mathematical expressions isequivalent to the verbal expression “A number, x, squared is 39 more than the product of 10 and x” ? F. 2x = 39 + 10x G. 2x = 39x + 10x H. x^2 = 390 − 10x J. x^2 = 390 + x^10 K. x^2 = 390 + 10x