Answer: 3 dimes
Step-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.
Answer:
3 dimes are in Reese's pocket.
Step-by-step explanation:
Here, n represent the number of nickels and d represent the number of dimes.
Given the system of equations:
[tex]n+d = 11[/tex] .....[1]
[tex]5n+10d = 70[/tex] .....[2]
Multiply both sides by 5 in [1] we have;
[tex]5n+5d=55[/tex] .....[3]
Subtract equation [3] from [2] we have;
[tex]5d = 15[/tex]
Divide both sides by 5 we have;
d = 3
Therefore, 3 dimes are in Reese's pocket.
