Mathematics: Has 44 coins; quarters and nickels. the combined value of the coins is $7. how many quarters and nickels does he have?

U..Step-by-step explanation:ask google...

Has 44 coins; quarters and nickels. the combined

Lesquirrel

13.01.2022

The number of nickel's coin is 20 and the number of quarter's coin is 24

Step-by-step explanation:

Let

x ----> the number of nickel's coin

y ----> the number of quarter's coin

Remember that

$1\ nickel=\$0.05$

$1\ quarter=\$0.25$

we have

x+y=44

x=44-y ----> equation A

0.05x+0.25y=7 ----> equation B

Solve the system by substitution

substitute equation A in equation B

0.05(44-y)+0.25y=7

solve for y

2.2-0.05y+0.25y=7

0.20y=7-2.2

0.20y=4.8

y=24

Find the value of x

x=44-24=20

therefore

The number of nickel's coin is 20 and the number of quarter's coin is 24

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