Three new roommates each pay toward the rent and groceries. Allison agrees to pay 35% of the costs, and Betsy agrees to pay 0.4 of the costs. Caroline will pay the remaining balance. Their first payment was $1,160, and their first grocery bill was $130. Caroline claims the she owes $322.50 toward theses two costs. Is her claim correct?

Question

Mathematics

Lewis Winters

19 June, 01:01

Three new roommates each pay toward the rent and groceries. Allison agrees to pay 35% of the costs, and Betsy agrees to pay 0.4 of the costs. Caroline will pay the remaining balance. Their first payment was $1,160, and their first grocery bill was $130. Caroline claims the she owes $322.50 toward theses two costs. Is her claim correct?

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Answers (1)

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Kianna Pierce · Answer 1

She is correct

Step-by-step explanation:

The total amount the three roommates must pay is $1,160+$130 = $1,290

Allison must pay:

$1,290*0.35 = $451.5

Betsy must pay:

$1,290*0.4 = $516

Both Allison and Betsy payments sum: $967.5

Caroline must pay: $1,290-$967.5 = $322.5

She is correct because she agreed to pay the remaining balance, which in this case is $322.5