MATHEMATICS MIDDLE SCHOOL

At the zoo, the Spencer family bought 3 adult tickets and 2 children's tickets for $23.50. The Yang family bought 2 adult tickets and 4 children's tickets for $25. How much would the Diaz family spend if they bought 3 adults tickets and 1 children's ticket?

Answers

Answer 1
Answer:

Diaz family spend $ 20 if they bought 3 adults tickets and 1 children's ticket

Solution:

Let "a" be the cost of each adult ticket

Let "c" be the cost of each student ticket

The Spencer family bought 3 adult tickets and 2 children's tickets for $23.50

Therefore, we frame a equation as:

3 * a + 2 * c = 23.50

3a + 2c = 23.50 --------- eqn 1

The Yang family bought 2 adult tickets and 4 children's tickets for $25

Therefore, we frame a equation as:

2 * a + 4 * c = 25

2a + 4c = 25 ----------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

6a + 4c = 47 ---------- eqn 3

Subtract eqn 2 from eqn 3

6a + 4c = 47

2a + 4c = 25

( - ) --------------

4a = 47 - 25

4a = 22

Divide both sides of equation by 4

a = 5.5

Substitute a = 5.5 in eqn 1

3(5.5) + 2c = 23.50

16.5 + 2c = 23.50

2c = 23.50 - 16.5

2c = 7

Divide both sides of equation by 2

c = 3.5

Thus, cost of each adult ticket = $ 5.5

Cost of each student ticket = $ 3.5

How much would the Diaz family spend if they bought 3 adults tickets and 1 children's ticket?

Total cost = 3a + 1c

Total cost = 3(5.5) + 1(3.5) = 16.5 + 3.5

Total cost = 20

Thus Diaz family spend $ 20

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A 100-pound person on Earth would weigh about 4 x 4 x 4 x 4 pounds on Jupiter. Evaluate the expression to determine how much a 100-pound person would weigh on Jupiter.

Answers

Answer:

\text{Weight on Jupiter} = (25)/(64)* (\text{Weight on earth})

Step-by-step explanation:

A 100 pound person on earth weigh 4×4×4×4 pounds on Jupiter.

4×4×4×4 pounds weight = 256 pounds

Therefore ratio of the weights on earth and Jupiter = 100 : 256

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Answers

Answer:

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Step-by-step explanation:

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= 1,465,200,000,000 /  249,793,675

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Answers

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Answers

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Answers

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Answers

I hope this helps you



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x=1/20


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