SOLUTION: A boy has a handful of dimes and quarters. He counted the number of coins and found there are 15 coins in all. He figured out the value of the coins together to be $3.00. How many

Question 753430: A boy has a handful of dimes and quarters. He counted the number of coins and found there are 15 coins in all. He figured out the value of the coins together to be $3.00. How many dimes and quarters does the boy have
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
x = dimes, y = quarters
x + y = 15....1
10x + 25y = 300...2
Multiply (1) by 25
25x + 25y = 375 ...3
10x + 25y = 300 ...2
Subtract (2) from (3)
15x = 75
x = 75/15
x = 5
Substitute x = 5 into
Equation (1)
x + y = 15
5 + y = 15
y = 15 - 5
y = 10
Therefore there are:
5 dimes and 10 quarters
Hope this helps
:-)
RELATED QUESTIONS
A boy has 180 coins altogether . There are nickels dimes and quarters. Number of dimes is (answered by josgarithmetic,greenestamps,ikleyn,MathTherapy)

Stefan has a collection of nickels, dimes, and quarters. In all, he has 24 coins. seven... (answered by stanbon)

Stefan has a collection of nickels, dimes, and quarters. in all, he has 24 coins. seven... (answered by TimothyLamb)

A boy has $3.20 in nickels, dimes and quarters. There are three times as many quarters as (answered by ewatrrr)

Jeb has 15 coins. They are all quarters and dimes. He has a total of $2.10. How many... (answered by Alan3354)

Sherlock is hunting a theif who has stolen 40 coins, in quarters, dimes, and nickels. He (answered by ikleyn)

Liam has some dimes and quarters.He has 7 more quarters than he has dimes. If liam has 15 (answered by hkwu,MathTherapy)

Please, Please help me. I just don't understand what to do. I've tried equation... (answered by ptaylor)

mr.armstrong is saving his change in al large glass jar to buy a new hockey stick.... (answered by guapa)