Question 443785
Let n = no. of nickels
Let d = no. of dimes
Let q = no. of quarters
:
Write an equation(s) for each sentence;
:
"Juan has 24 coins worth $2.80."
n + d + q = 24
and
.05n + .10d + .24q = 2.80
:
" The number of dimes equals the sum of number of quarters and nickels."
d = q + n
rearrange to
-n + d - q = 0
Add this to the 1st equation
-n + d - q = 0
n + d + q = 24
------------------adding eliminates n and q, find d
2d = 24
d = {{{24/2}}}
d = 12 dimes, which is all they ask for here.