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Tanzania [10]
3 years ago
15

Hannah has $3.10 in her piggy bank in nickels and quarters. If there are 22 coins in her piggy bank, how many are nickels and ho

w many are quarters? Please explain and show work.
Mathematics
1 answer:
PIT_PIT [208]3 years ago
7 0

Answer:

12\ nickel

10\ quarter

Step-by-step explanation:

we know that

1\ nickel=\$0.05

1\ quarter=\$0.25

Let

x------> the number of nickel coins

y-----> the number of quarter coins

we know that

x+y=22

x=22-y -----> equation A

0.05x+0.25y=3.10 ----> multiply by 100 both sides

5x+25y=310 -----> equation B

Substitute equation A in equation B and solve for y

5(22-y)+25y=310

110y-5y+25y=310

20y=310-110

20y=200

y=10\ quarter

x=22-y  ------> x=22-10=12\ nickel

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