Problema Solution
Translate into an equation.
d dimes and q quarters total $2.00
Determine three different combinations of dimes and quarters that total $2.00
Answer provided by our tutors
1dime= $ 0.1 , 1 quarter = $ 0.25.
So, 0.1d + 0.25q = $ 2.00
If d=10, then dimes make $ 1.00. So, 0.25q=1.00, which gives q=4.
Hence 4 quarters are required to make the rest of the $1.00. So one solution is d=10, q=4.
If d=5, then dimes make $ 0.5. So, 0.25q=1.5, which gives q=6.
Hence 6 quarters are required to make the rest of the $1.5. So one solution is d=5, q=6.
If d=15, then dimes make $ 1.5. So, 0.25q=0.5, which gives q=2.
Hence 6 quarters are required to make the rest of the $1.5. So one solution is d=15, q=2.