A jar contains 46 quarters and pennies. The total value of the coins is $4.30. Which system of equations can be used to find p,
the number of pennies, and q, the number of quarters?
1 answer:
Answer:
16 quarters
30 pennies
Step-by-step explanation:
q= quarters
p=pennies
set up a system of equations. One equation is for total value, the other is total # of coins.
q + p = 46
0.25q + 0.01p = 4.30 -> multiply this equation by 4 so you can subtract from the top equation
q + P =46
1q + 0.04p = 17.20
subtract the bottom equation from the top
0.96p = 28.8
divide by 0.96
p=30
substitute p in the top equation
q + 30 = 46
subtract 30 from both sides
q = 16
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