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3 years ago

Sydney has 24 coins that are a mixture of nickels and dimes that are worth $1.95. How many dimes does she have?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

4 0

Answer: 15 dimes

Step-by-step explanation:

Nickels are 5 cents and dimes are 10 cents and since they are a total of 1.95 coins in total we can set up the two equations and solve for how much there are for each of the money.

x + y = 24

0.05x + 0.10y = 1.95 so solve for y and x is the number of nickels while y is the number of dimes.

x+y=24

-y -y

x = -1y +24

0.05(-1y +24) + 0.10y = 1.95

-0.05y + 1.2 + 0.10y = 1.95

0.05y + 1.2 = 1.95

-1.2 -1.2

0.05y = 0.75

y = 15

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