How many quarters are in the cup?

The total mass of the cup and quarters is 145.28 grams. The cup has a mass of 14.18 grams. A quarter has a mass of 5.7 grams. How many quarters are in the cup?

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Let the variable represent what you are being asked.

x = number of quarters in the cup

5.7x + 14.18 = 145.28 {mass of quarter times number of quarters plus mass of cup equals total mass}
​5.7x = 131.1 {subtracted 14.18 from each side}
x = 23 {divided each side by 5.7}

There are 23 quarters in the cup.

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