Let’s make two equations. D being dimes and Q being quarters.
D+Q=100
0.1d+0.25q=14.05
Now, let’s multiply the first equation by -0.10 so that we can cancel out D.
-0.1D-0.1Q=-10
0.1d+0.25q=14.05
Let’s solve
0.15Q=4.05
Let’s divide.
Q=27
So there’s 27 Quarters. Since there are 100 in total, there must be 73 dimes.
Let’s make sure this adds up.
0.25(27)+0.1(73)
6.75+7.30
14.05
So there’s 27 Quarters.
42% or to be exact 41.6%.
Let's say the function for the discount is f and the function for the coupon is g
f(x)= 0.1x
g(x)= x-150
If you want to the the discount then the coupon, your composition function would look like this:
f(g(x))=0.1(x-150)
Hope this helps!
Answer:
multiplication property of Equality
