John has four more nickels than dimes in his pocket, for a total of

$1.25. Which equation could be used to determine the number of

dimes, x, in his pocket?

(1) 0.10 (x + 4) + 0.05 (x) = $1.25

(2) 0.05 (x + 4) + 0.10 (x) = $1.25

(3) 0.10 (4x) + 0.05 (x) = $1.25

(4) 0.05 (4x) + 0.10 (x) = $1.25

The correct equation would be: 2.) 0.05 (x+4) + 0.10x = $1.25

A nickel is worth 5 cents. A dime is worth 10 cents.

no. of nickels = x + 4

no. of dimes = x

nickels + dimes = 1.25

0.05 (x + 4) + 0.10x = 1.25

0.05x + 0.20 + 0.10x = 1.25

0.15x = 1.25 - 0.20

0.15x = 1.05

0.15x / 0.15 = 1.05 / 0.15

x = 7 * no. of dimes.

no. of nickels = x + 4 = 7 + 4 = 11

To check:

0.05 (11) + 0.10 (7) = 1.25

0.55 + 0.70 = 1.25

1.25 = 1.25