solve the equation

Question

Alycia opens her piggy bank to find only dimes and quarters inside. she counts the coins and finds that she has 44 coins totaling 6 dollars and 20 cents. How many dimes and quarters does she have

Answer 1

D+Q = 44

 

10D + 25q = 620 <--- amount in pennies

 

10D + 25(44-D) = 620

 

10D - 25D + 1100 = 620

 

-15D = -480

 

D=32

Q = 12

 

32 dimes and 12 quarters