Answer: Dimes: 9
Quarters :19
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations using the information given:
He has 10 more quarters than dimes
Q = D +10
Clayton has saved $5.65 in dimes and quarters
0.25 Q + 0.10 D = 5.65
Where:
Q= number of quarters
D= number of dimes
Replacing the value of Q for (D+10) in the second equation:
0.25 (D +10) + 0.10 D =5.65
0.25D + 2.5 +0.10D =5.65
0.25D + 0.10 D =5.65-2.5
0.35 D = 3.15
D = 3.15/0.35
D=9
Replacing the value of D by 13 in the first equation:
Q= D +10
Q =9 +10 =19
15 +11= 26
1/7 + 4/7 = 5/7
Final answer 26 5/7
