SOLUTION: Can you please help me solve this Inequality? Problem: A purse contains 30 coins, all either quarters or dimes. The total value of the coins is greater than $5.20. At least how

Question 535530: Can you please help me solve this Inequality?
Problem:
A purse contains 30 coins, all either quarters or dimes. The total value of the coins is greater than $5.20. At least how many of the coins are quarters? At most, how many are dimes?

Thank you.
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
q = quarters, d=dimes.

q+d=30

.25q+.1d>5.20

Solve the first equation for d in terms of q.

d=30-q

Substitute that for d in the second equation.
.25q + .1(30-q)>5.20

.25q +3 -.1q <5.20

.15q>2.20
q>14.67

At least 15 of the coins are quarters.

We can solve the first equation for d, but it's clear just by looking that d=15 when q=15. That means at most 15 of the coins are dimes.

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