First and second place in a contest use a ratio to share a cash prize. When first place pays $100 , second place pays $60. How much does first place pay when second place pays $36? Complete the ratio table to solve the problem

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calculista calculista · Answer 1 · 2019-01-13T12:18:18-05:00

Answer:

$\$60$

Step-by-step explanation:

Using a proportion

Let

x-------> the pay of the first place when the second place pays $\$36$

$\frac{\$100}{\$60}=\frac{x}{\$36}\\ \\x=36*100/60\\ \\x=\$60$

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psm22415 psm22415 · Answer 2 · 2022-01-31T22:55:33-05:00

The amount paid for first place pay when second place pays $36 is $60.

Given

First and second place in a contest uses a ratio to share a cash prize.

When first place pays $100, second place pays $60.

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other:

Let, x be the amount paid in the first place when the second-place pays.

Then,

$\rm \dfrac{100}{60} = \dfrac{x}{36}\\\\100 \times 36 = x \times 60\\\\3600 = 60x\\\\x = \dfrac{3600}{60}\\\\x=60$

Hence, the amount paid for first place pay when second place pays $36 is $60.

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