Question

Steve has three times as many quarters as half-dollars. The coins total $13.75. How many total coins does he have, how would you solve this type of problem??

Answer 1

Hello,
Let assume x the number of half-dollars3x is the number of quarters.
The coins total $13.75.

`0.50 *x+ 0.25 *3x=13.75\\ \Rightarrow\ (x)/(2)+ (3x)/(4)=13.75\\ \Rightarrow\ (2x)/(4)+ (3x)/(4)=13.75\\ \Rightarrow\ (5x)/(4)=13.75\\ \Rightarrow\ 5x=4*13.75\\ \Rightarrow\ 5x=55\\ \Rightarrow\ x=11\\`

11 is the number of half-dollars

33 is the number of quarters.