Answered

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There are 45 coins consisting of nickels and dimes. If the total value of the coins is $3.75, how many nickels are there?

A 10
B 12
C 15
D 22

Sagot :

It's B. 45/3.75 is 12.
ivycoveredwalls

Answer:

15 nickels

Step-by-step explanation:

Choose variables:  n = number of nickels,  d = number of dimes.

There are two pieces of information given:

There are 45 coins, so  n + d = 45.

The total value is $3.75 (let's use cents in order to avoid decimals), so

5n + 10d = 375

Solve the first equation for d by subtracting n from both sides.

d = 45 - d

Substitute this expression for d in the value equation:

5n + 10(45 - n) = 375  See? The only variable is now  n!

Distribute the 10 (multiply).

5n + 450 - 10n = 375

450 - 5n = 375

-5n = -75

n = 15

There are 15 nickels.

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