MATH SOLVE

5 months ago

Q:
# This system of equations represents Reese’s pocket change. Let n represent the number of nickels and d represent the number of dimes Reese has in his pocket. n + d = 11 5n + 10d = 70 How many dimes are in Reese’s pocket?

Accepted Solution

A:

Answer: 3 dimesStep-by-step explanation:Let n represent the number of nickels and d represent the number of dimes Reese has in his pocket.Given system : [tex]n+d=11........(1)\\5n+10d=70............................(2)[/tex]Divide equation (2) by 3 on both sides, we get[tex]n+2d=14................................(3)[/tex]Subtract equation (1) from (3), we get[tex]d=3[/tex]Hence, there are 3 dimes in Reese's pocket.