wallacelaux46691 wallacelaux46691
  • 14-03-2021
  • Mathematics
contestada

Tripp has $4.30 in his pocket made up of 26 coins consisting of quarters and nickels. How many of each type of coin does he have?

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colesparks51
colesparks51 colesparks51
  • 14-03-2021
16 quarters and 10 nickels.

16 quarters are worth 4.00 and 10 Nickels are worth .30
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moonowl95014 moonowl95014
  • 14-03-2021

Answer:

15 quarters

11 nickels

Step-by-step explanation:

Let q represent quarters and n represent nickels

First, set up a system of equation:

q+n=26

0.25q+0.05n=4.30

then solve the equations:

q+n=26

0.25q+0.05n=4.30 (multiply this equation by -4)

q+n=26

-q-0.2n=-17.2

0.8n=8.8

n=11

So, there are 11 nickels.

to find the amount of quarters Tripp has:

q+11=26

q=15.

So Tripp has 15 quarters and 11 nickels.

Answer Link

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