Question

Alison has 1.60 worth or nickels and dimes in her coin purse. She has 11more nickels than dimes. How many of each coin does she have?
__nickels and __dimes

Answer 1

Answer: she had 18 nickels and 7 dimes.

Step-by-step explanation:

The worth of a dime is 10 cents. Converting to dollars, it becomes

10/100 = $0.1

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of dimes that she has in her coin purse.

Let y represent the number of nickels that she has in her coin purse.

Alison has 1.60 worth of nickels and dimes in her coin purse. This means that

0.1x + 0.05y = 1.6 - - - - - - - - - - - 1

She has 11 more nickels than dimes. It means that

y = x + 11

Substituting y = x + 11 into equation 1, it becomes

0.1x + 0.05(x + 11) = 1.6

0.1x + 0.05x + 0.55 = 1.6

0.15x = 1.05

x = 1.05/0.15

x = 7

y = x + 11 = 7 + 11

y = 18