MATHEMATICS MIDDLE SCHOOL

Paula, linda and aaron make handmade cards

Answers

Answer 1

Answer:

Linda made 72 more cards than Paul during the week.

Let :

Linda = x

Linda = x Paul = 1/3 of Linda's rate = x/3

Linda = x Paul = 1/3 of Linda's rate = x/3 Aaron = 2/3 = 2x / 3

Number of cards made by Aaron in a week = 72

This means :

2x/3 = 72

We can find x

2x = 72 × 3

2x = 216

Divide both sides by 2

x = 216 /2

x = 108

Hence, Number of cards made by Linda = 108

Recall :

Paul = x/3

Paul = 108 /3

Paul = 36 cards

Number of cards Linda makes more than Paul :

Linda's cards - Paul's cards

108 - 36 = 72 cards

Hence, Linda made 72 cards more than Paul.

Learn more : brainly.com/question/18109354

Answer 2

Answer:

Answer:

Linda makes 72 more handmade cards than Paula

Step-by-step explanation:

First you need to find out how many handmade cards Linda makes by making a proportion.

The first ratio is 3 to 2 and since we are trying to find out how many cards Linda makes, it will be represented by x.

3 to 2 represents how many Linda makes to how many Aaron makes so the second ratio will be x to 72 since that's how many cards Aaron made.

Now you can put it into a proportion:

3/2 = x/72

Next you have to do Cross Product Property to find x

So 3*72 = 216

2*x = 2x

2x = 216

Now divide 2 by itself and then by 216 to find what x equals.

2/2 = 1

216/2 = 108

So Linda makes 108 handmade cards.

Now we need to find how many cards Paula made.

The ratio for how many Paula makes to how many Linda makes is 1 to 3

Since we are trying to figure out how many Paula made we need to represent it with x.

The second ratio will be x to 108 since 108 is how many cards Linda made.

Now you can put it into a proportion:

1/3 = x/108

Then you need to do Cross Product Property to find x

So 1*108 = 108

3*x = 3x

3x = 108

Now we need to divide 3 by itself to isolate x and then divide 3 by 108 to find what it equals.

3/3 = 1

108/3 = 36

So Paula makes 36 handmade cards.

Since the question is asking for how many more does Linda make than Paula you need to subtract 108 and 36.

So 108 - 36 = 72

Linda makes 72 more handmade cards than Paula.

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600 hundred people attended the premiere of a motion picture. Adult tickets cost %5, and children were admitted for $2. If box office receipts totaled $2400, how many children attended the premiere?

Answers

Answer:

200

Step-by-step explanation:

Let the number of children be c

and the number of adults be a

Since 600 people in total attended, we can write the 1st equation as:

c + a = 600

Each adult tickets cost $5 and children ticket costs $2 and total sum of tickets is 2400, thus we can write 2nd equation as:

5a + 2c = 2400

Solving the first equation for adults, we have:

c + a = 600

a = 600 - c

We can put this into 2nd equation and solve for children (c). Shown below:

$5a + 2c = 2400\n5(600-c) + 2c = 2400\n3000-5c+2c=2400\n-3c=2400-3000\n-3c=-600\nc=(-600)/(-3)\nc=200$

Thus, we can say 200 children attended the premiere

Tate fills a 13 1/3 ounce glass from a 21 2/3 ounce bottle of juice. how much juice is left in the bottle?

Answers

8 1/3

13
- 21 = 8

2/3
- 1/3 = 1/3

8 1/3

so first you can do it 21-13 then you get 8 after you subtract 2/3 - 1/3 and you get one third you don't have some the fraction into a common denominator because it is already the same. so therefore the answer is 8 1/3

7b ÷ 12 = 4.2 What is b?

Answers

$(7b )/(12) = 4.2 \ \ /*12 \n \n7b=4.2*12\n \n7b= 50.4 \ \ \/:7\n \n(7)/(7) \ b= (50.4 )/(7)\n \nb= 7.2$

7b / 12 = 4.2

4.2 * 12 = 50.4

50.4 / 7 = 7.2

20 points!!! plz help asapSuppose 10% of the flights arriving at an airport arrive early, 60% arrive on time, and 30%
arrive late. Valerie used the random-number table to find the experimental probability that of 5
flights, at least 2 will arrive late. The digit 0 represents flights arriving early. The digits 1,2,3,
4, 5, and 6 represent flights arriving on time. The digits 7, 8, and 9 represent flights arriving
late. Find the experimental probability that of 5 flights at least 2 will arrive late.
A: 3/10
B:2/5
C: 9/20
D: 11/20

Answers

Answer:

D. 11/20

Step-by-step explanation:

7, 8, and 9 represent late flights. We want to count how many of the 20 trials have at least two of these digits. Counting, we find that 11 of the 20 have at least two of these digits.

D. 11/20

Write an equation for the line representing each of the following situations.A driving range charges $10 per bucket of golf balls.Car rental agency charges $100 plus $0.30 per kilometre.Floor installers charge $50 plus $1 per square meter.Book binding costs $15 plus $0.12 per page.