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I need help. Pls show work.

I need help. Pls show work.-example-1
User Malav Soni
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1 Answer

3 votes

Answer:

There are 16 nickels and 15 dimes.

Explanation:

let x = number of dimes

let y = number of nickels

x + y = 31

.1x + .05y = 2.30

Solve x + y = 31 for x

x = 31 - y

multiple the second equation by 100 to eliminate the decimals.

10x + 5y = 230 Substitute 31 - y for x

10(31-y) + 5y = 230 Distribute the 10

310 -10y + 5y = 230 Combine like terms

310 -5y = 230 Subtract 310 from both sides

-5y = -80 Divide both sides by -5

y = 16

There are 16 nickels.

Plug in 16 for y to solve for x

x + y = 31

x + 16 = 31 Subtract 16 from both sides

x = 15

There are 15 times.

Check:

10x + 5y = 230

10(15) + 5(16) = 230

150 + 80 = 230

230 = 230

User Marson Mao
by
8.1k points

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