Greeting Cards

Algebra Level 1

Amanda, Ben and Cindy made a total of 34 greeting cards. Ben made 4 times as many as Amanda, and Cindy made 3 times as many as Ben. How many greeting cards did Amanda make?


The answer is 2.

Anuj Shikarkhane by Anuj Shikarkhane , 19, India

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2 solutions

B = 4 A ; C = 3 B = 3 ( 4 A ) = 12 A B=4A;C=3B=3(4A)=12A

A + B + C = 34 A+B+C=34

A + 4 A + 12 A = 34 A+4A+12A=34

17 A = 34 17A=34

A = 2 \large{\color{#D61F06}\boxed{A=2}}

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Ubair Khan
Aug 29, 2014

Let the number of cards Amanda made be X, so ben made 3X, and Cindy made 4(3X)=12X

So, 12X + 3X + X = 34 17X = 34

Amanda mede X Cards = 2

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