Question

Tyler has 35 coins made up of nickels and quarters worth a total of $4.15. Determine the number of nickels Tyler has and the number of quarters Tyler has?

Answer 1

SOLUTION

GIVEN

Tyler has 35 coins made up of nickels and quarters worth a total of $ 4.15.

TO DETERMINE

The number of nickels Tyler has and the number of quarters Tyler has

EVALUATION

Let Tyler has m nickels and n quarters

Now Tyler has 35 coins

∴ m + n = 35 - - - - - - (1)

Again 35 coins made up of nickels and quarters worth a total of $ 4.15

So by the given condition

0.05m + 0.25n = 4.15

$\implies \sf{5m + 25n = 415}$

$\implies \sf{m + 5n = 83 \: \: \: - - - - (2)}$

Equation 2 - Equation 1 gives

4n = 48

$\implies \sf{n = 12}$

From Equation 1 we get

m = 35 - 12 = 23

So Tyler has 23 nickels and 12 quarters

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