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In Mathematics / College | 2025-07-03

Question 12 (5 points)

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During a school fundraiser contest, Georgia sold 49 coupon books and Molly sold 79 coupon books. The total number of coupon books sold during the contest was 354 books. What's the ratio of the number of coupon books that Georgia and Molly sold to the total books sold?
a) $79 / 354$
b) $128 / 177$
c) $64 / 177$
d) $49 / 354$

Asked by nikkyjassoa

Answer (2)

Calculate the total number of coupon books sold by Georgia and Molly: 49 + 79 = 128 .
Calculate the ratio of the number of coupon books sold by Georgia and Molly to the total number of coupon books sold: 354 128 ​ .
Simplify the fraction: 354 128 ​ = 177 64 ​ .
The ratio of the number of coupon books that Georgia and Molly sold to the total books sold is 177 64 ​ ​ .

Explanation

Find the total books sold by Georgia and Molly First, we need to find the total number of coupon books sold by Georgia and Molly combined. Georgia sold 49 coupon books and Molly sold 79 coupon books. So, we add these two numbers together:

Calculate the sum 49 + 79 = 128

Set up the ratio Now, we need to find the ratio of the number of coupon books sold by Georgia and Molly to the total number of coupon books sold during the contest. The total number of coupon books sold was 354. So, the ratio is:

Write the ratio 354 128 ​

Simplify the ratio We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

Divide by the GCD 354 ÷ 2 128 ÷ 2 ​ = 177 64 ​

State the final ratio So, the ratio of the number of coupon books that Georgia and Molly sold to the total books sold is 177 64 ​ .

Choose the correct option Comparing this with the given options, we see that the correct answer is c) 177 64 ​ .


Examples
Understanding ratios is very useful in everyday life. For example, if you are baking a cake and the recipe calls for a certain ratio of flour to sugar, you need to understand ratios to make sure you use the correct amounts. Similarly, if you are mixing paint and you want to create a specific color, you need to understand ratios to mix the different colors of paint in the correct proportions. In finance, ratios are used to analyze a company's financial performance. For example, the debt-to-equity ratio is used to assess a company's financial risk.

Answered by GinnyAnswer | 2025-07-03

To find the ratio of coupon books sold by Georgia and Molly to the total sold, we first calculate the total they sold, which is 128. Then, we find the ratio of 128 to the total of 354 and simplify it to get 177 64 ​ . The correct answer is (c) 177 64 ​ .
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Answered by Anonymous | 2025-07-04

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