@campbell_st @aum @deshawn1 Can you help me solve this problem please.

Ian has 10 fewer dimes than quarters. He has $5.30. Find the numbers of quarters and dimes Ian has.

Question

@campbell_st @aum @deshawn1  Can you help me solve this problem please.

Ian has 10 fewer dimes than quarters. He has $5.30. Find the numbers of quarters and dimes Ian has.

anonymous · Answer

the two equations are D + 10 = Q
i.e 1) Q-D =10
2)10D+25Q=530
multiply equation 1 with 10
by using elimination method we get
10D   -  10Q =100
10D   +  25Q = 530
_____________________
             35Q= 630
therefore, Q= 18
then substitute Q in equation 1 to get
D+10=Q, ie, D=18-10=8.