Frank ordered 3 times as many boxes of birthday cards as anniversary cards for his card shop. Birthday cards cost $10.75 per box, and anniversary cards cost $8.50 per box. If his total order for these two types of cards was $2,037.50, how many boxes birthday cards did he buy?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.7: Costs, Income, And Value Problems
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Frank ordered 3 times as many boxes of birthday cards as anniversary cards for his card shop. Birthday cards cost $10.75 per box, and anniversary cards cost $8.50 per box. If his total order for these two types of cards was $2,037.50, how many boxes birthday cards did he buy?

Expert Solution
Step 1

Consider the number of boxes of birthday card is "3x".

Consider the number of boxes of anniversary card is "x".

The cost of one birthday card box is $10.75.

The cost of one anniversary card box is $8.50.

The total cost of birthday card box and anniversary card box is $2,037.50.

 

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