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Ray has pennies and nickles. He saved 474 coins. It totals $11.22. how many pennies and nickles does he have?

1 Answer

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Answer:

There will be 312 pennies and 162 nickels that will make up to $11.22 and there are 474 coins altogether.

Explanation:

Here,

A penny is worth 1 cent.

A nickel is worth 5 cents.

A dime is worth 10 cents.

A quarter is worth 25 cents.

A dollar is worth 100 cents.

Let there be x pennies and y nickels.

x+y=474

0.01x+0.05y=11.22

Now,

0.01x+0.01y=4.74

0.01x+0.05y=11.22

subtracting both,

-0.04y=-6.48

y=6.48/0.04

y=162 nickels

x+162=474

x=312 pennies

There will be 312 pennies and 162 nickels totaling $11.22, for a total of 474 coins.

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