Question

James bought a movie ticket for $4.05. Hepaid the movie ticket with quarters anddimes. If James used 18 coins in all, howmany quarters (q) and dimes (d) did he use?=q + d = 180.25q + 0.1d = 4.05+=ritorddia

Answer 1

q + d = 18

0.25q + 0.1d = 4.05

We will use substitution

Solving the first equation for q

q = 18 -d

Substituting this into the second equation

.25(18-d) + .1d = 4.05

Distribute

4.5 - .25d +.1d = 4.05

Combine like terms

4.5 - .15d = 4.05

Subtract 4.5 from each side

-.15d = -.45

Divide each side by -/15

-.15d/-.15 = -.45/-.15

d = 3

We have 3 dimes

Now we can find the number of quarters

q = 18-d

q = 18-3

q = 15

We have 15 quarters