Tony has x quarters. Jane has three more quarters than Tony. Rob has twice as many quarters as Jane. Together, Rob and Jane have $4.50 in quarters. Complete each statement.

The correct answer is 3 quarters for Tony; 6 quarters for Jane; 12 quarters for Rob.

Step-by-step explanation:

Tony has x quarters.

Jane has three more quarters than Tony.

∴ Jane has x + 3 quarters.

Rob has twice as many quarters as Jane.

∴ Rob has 2 × ( x + 3 ) quarters.

Together, Rob and Jane have $4.50 in quarters.

And we know that $1 is 4 quarters.

∴ $4.50 is ( 4 × 4.5 ) quarters = 18 quarters.

Thus we can form the equation as

2 × ( x + 3 ) + ( x + 3 ) = 18

⇒ 2x + 6 + x + 3 = 18

⇒ 3x = 9

⇒ x = 3.

Thus Tony has 3 quarters. Jane has 6 quarters. Rob has 12 quarters.

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