AnswersFinancial MathPractice TestQuestion 16
16
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Question 16 • Financial Math

Ulysses sold umbrellas for $⁢25 each and raincoats for $⁢50 each. He earned a total of $⁢600 from selling these items. Let x be the number of umbrellas Ulysses sold and y be the number of raincoats. The system of equations that models this scenario is: 25⁢x+50⁢y=600 x plus y is equal to 18 How many umbrellas and raincoats did Ulysses sell?

Answer
A
8 umbrellas and 10 raincoats
B
6 umbrellas and 12 raincoats
C
12 umbrellas and 6 raincoats
D
10 umbrellas and 8 raincoats

Explanation

Divide the earnings equation, 25x + 50y = 600, by 25 to get x + 2y = 24. Subtract x + y = 18 from this equation to find y = 6, so Ulysses sold 6 raincoats. Then x = 18 − 6 = 12, so the correct choice is 12 umbrellas and 6 raincoats.

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