Question

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. (A) The expression x + 3 represents the number of quarters Jane has. (B) The expression x – 3 represents the number of quarters Rob has. (C) Tony has quarters.

Answer 1

(A) The expression x + 3 represents the number of quarters Jane has.

B) The expression 2(x+3) represents the number of quarters Rob has.

(C) Tony has 3 quarters.

Explanation:

Answer 2

x = 3 quarters

Explanation:

Tony = x quarters

Jane = (x + 3) quarters

Rob = 2(x + 3) quarters

Rob and Jane have $4.50 in quarters.

$1 = 4 quarters.

$4.50 = ( 4 × 4.5 ) quarters

= 18 quarters.

(x + 3) + 2(x + 3) = 18

x + 3 + 2x + 6 = 18

3x + 9 = 18

3x = 18 - 9

3x = 9

x = 9/3

x = 3

(A) The expression x + 3 represents the number of quarters Jane has. YES

x + 3

= 3 + 3

= 6 quarters

(B) The expression x – 3 represents the number of quarters Rob has.

NO

(C) Tony has quarters.

Tony = x quarters

= 3 quarters

Rob = 2(x + 3) quarters

= 2(3 + 3) quarters

= 2(6) quarters

= 12 quarters