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Mkey [24]
3 years ago
10

8

Mathematics
1 answer:
allsm [11]3 years ago
4 0

Answer:

Jennifer has 7 quarters

Step-by-step explanation:

<u><em>The correct question is</em></u>

Jennifer has $ 3.51 in change in her  piggy bank. The change consists of 51 coins inducing pennies, nickels and  quarters. If there are 3 times as many nickels as pennies, how many quarters  does she have?

Remember that

1\ penny=\$0.01\\1\ nickel=\$0.05\\1\ quarter=\$0.25

Let

x ----> the number of pennies

y ---> the number of nickels

z ---> the number of quarters

we know that

x+y+z=51 -----> equation A

0.01x+0.05y+0.25z=3.51 ----> equation B

y=3x ---> equation C

substitute equation C in equation A and equation B

x+3x+z=51

4x+z=51 -----> equation D

0.01x+0.05(3x)+0.25z=3.51

0.16x+0.25z=3.51 ----> equation E

we have

4x+z=51 -----> equation D

0.16x+0.25z=3.51 ----> equation E

Solve the system of equations D and E by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (11,7)

x=11,z=7

see the attached figure

Find the value of y

y=3(11)=33

so

The number of pennies is 11

The  number of nickels is 33

The number of quarters is 7

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