MATHEMATICS MIDDLE SCHOOL

Michael orders pizzas from Pizza by Alfredo and from Alfredo’s Pizza Cafe. The pizzas fromPizza by Alfredo costs $3 each, and the pizzas from Alfredo’s Pizza Cafe costs $5 each. Michael spent $24 more on pizza from Alfredo’s Pizza Cafe than he did at Pizza by Alfredo. If Michael spent $66 in total, how many pizzas did he buy from each place?

Answers

Answer 1

Answer:

Michael bought 7 pizzas from Pizza by Alfredo and 9 pizzas from Alfredo's Pizza Cafe.

Step-by-step explanation:

Cost of Pizza at Pizza by Alfredo = $3

Cost of pizza at Alfredo's pizza cafe = $5

Total amount spent = $66

Let,

Pizzas bought from Pizza by Alfredo = x

Pizzas bought from Alfredo's Pizza Cafe = y

According to given statement;

3x+5y=66 Eqn 1

5y = 3x+24 Eqn 2

Putting value of 5y from Eqn 2 in Eqn 1;

$3x+(3x+24)=66\n3x+3x+24=66\n6x=66-24\n6x=42$

Dividing both sides by 6

$(6x)/(6)=(42)/(6)\nx=7$

Putting x=7 in Eqn 2

$5y=3(7)+24\n5y=21+24\n5y=45$

Dividing both sides by 5

$(5y)/(5)=(45)/(5)\ny=9$

Michael bought 7 pizzas from Pizza by Alfredo and 9 pizzas from Alfredo's Pizza Cafe.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

Related Questions

Is 5/10 equivalent to 6/12
a team was given a bucket of water and a sponge. The team had 1 minute to fill an empty half gallon bucket with water using only the sponge.
i have 10 hundred blocks and 5 ones blocks and 8 tens blocks, i use all my blocks to model two 3-digit numbers. What could my two numbers be?
This might be a stupid question but what number is greater 56.3 or 56.93
The measure of the supplement of an angle is 40 more than two times the measure of the complement of the angle. find the measure of the angle

Write the quadratic equation y=x squared -6x+7 in vertex form

Answers

Type in that in Wolfram alpha

PLEASE ANSWER ASAP! VERY IMPORTANT! MORE POINTS GIVEN!William said that when you multiply three positive and negative decimals, the answer changes depending on where you place the parentheses. Use these numbers to answer the questions: –2.4, –0.63, 1.8, –3.42

Write a rule describing the results when one multiplies three positive and negative decimals and
changes the order of multiplication using parentheses.

Answers

so as seen in the previous problem and using the associative propery of multiplication which is a(bc)=(ab)c we can conclude that the order doesn't matter so then we find the part with the positives and negatives
so we will see what happens when we multipliy positives and negatives
so we remember these rules
(+)=positive
(-)=negative
(+) times (+)=(+)
(-) times (-)=(+)
(+) times (-)=(-)
(-) times (+)=(-)

basically group in pairs and write the signs down to conclude proper signs ex.
-2 times 2 times 4 times -3 would be (-2 times +2) times (+4 times -3) or (- times +) times (+ times -)=(-) times (-) =+
basically just do this over and over again untill you get 1 sign

basically the rule is if you multiply 2 pairs of signs, if the signs are the same, then the result is positive
if the signs are different, then the result is negative

(+) times (+)=(+)
(-) times (-)=(+)
(+) times (-)=(-)
(-) times (+)=(-)

Using coordinate geometry, prove that Quadrilateral MIKE is a Parallelogram:

Answers

Answer: It has two pairs of parallel lines

Step-by-step explanation:

coordinates of E (-4,4) K (4,4) M(-6,-3) I( 2,-3)

The distance from E to K is 8 the same as the distance from M to I.

The distance from M to E is about 7.3 and the distance between K and I is the the same thing.

Answer:

Counting the unit on graph, we observes:

EK = MI = 8

EK // MI // x-axis

=> MEKI is parallelogram

Hope this helps!

What are scale factors. And could someone explain them?

Answers

In two similar geometric figures , the ration of their corresponding sides is called the scale factor .

I hope that's help !

If a polynomial function f(x) has roots -9 and 7-i, what must be a factor of f(x)

Answers

Answer:

A. (x - (7 + i))

Step-by-step explanation:

Answer:

(x – (7 + i))

Step-by-step explanation:

option A

A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of 666 centimeters per minute. After 202020 minutes, the water level is 220220220 centimeters. Graph the relationship between the pool's water level (in centimeters) and time (in minutes).