Question

Write what the expressions below best represent within the context of the word problem.

Mark had 3 times as many quarters as nickels. He had $1.60 in all. How many nickels and how many quarters did Mark

have?

x represents

3x represents

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Answer 1

There are 4 quarters and 12 nickels.

Explanation:

A quarter is equal to $0.25.

A nickel is equal to $0.05.

Let the number of nickels be y.

Let the number of quarters be x.

Mark had 3 times as many quarters as nickels. This means that:

y = 3x

3x represents the number of nickels.

We are told that he had $1.60 in all. This means that:

0.25x + 0.05y = 1.60

=> 0.25x + 0.05 * 3x = 1.60

0.25x + 0.15x = 1.60

0.40x = 1.60

=> x = 1.6 / 0.4 = 4

Therefore:

y = 3 * 4 = 12

There are 4 quarters and 12 nickels.

Answer 2

2 nickels

6 quarters

Explanation:

Let quarters be 3x and nickels be $x

if Mark had 3 times as many quarters as nickels, and if he had $1.60 in all, than

( 0.25)3x + 0.05x=1.6

0.75x+ 0.05x=1.6

0.8x=1.6

x=1.6/0.8

x=2 nickels

and 3 (2)=6 quarters