Question

Leslie has 24 coins. They are all nickels and dimes. The total value of the coins is $1.85. How many dimes does Leslie have? Which of the following systems is correct for
this situation?

Answer 1

The number of dimes is 13.

The system of equation for the situation is as follows;

x + y = 24

0.1x + 0.05y = 1.85

How to solve system of equation?

The coins are 24.

Therefore, they are all dimes and nickel.

Total value of the coins is $1.85.

Hence, let

x = number of dimes

y = number of nickels

Therefore,

x + y = 24

0.1x + 0.05y = 1.85

0.1x + 0.1y = 2.4

0.1x + 0.05y = 1.85

0.05y = 0.55

y = 0.55 / 0.05

y = 11

x = 24 - 11

x = 13

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