Question

Please Help!!!

The only coins Alexis has are dimes and quarters.
Her coins have a total value of $5.80.
She has a total of 40 coins.
Which of the following systems of equations can be used to find the number of dimes,d, and the number of quarters, q, Alexis has. Explain your choice.

A.) d + q = 5.80
40d + 40 q= 5.80

B.) d + q = 40
0.25d + 0.10q = 5.80

C.) d + q = 5.80
0.10d + 0.25q = 40

D.) d + q = 40
0.10d = 0.25q = 5.80

Answer 1

D) d + q =40
0.10d+0.25q=5.80

Answer 2

The correct answer is (d). If d represents the number of dimes and q the number of quarters, the total number of coins would be d+q, which is given as 40 in the prompt: d+q=40

Since each dime is worth ten cents and each quarter worth twenty-five cents, their total value would be 0.10d+0.25q which would total 5.80.: 0.10d+0.25q=5.80 I HOPE THIS HELPS YOU