Question

Janet has three times as many dimes as nickels and twice as many quarters as nickels. If she has $3.40 in all, how many nickels, dimes, and quarters does she have?
If n represents the number of nickels Janet has, which of the following equations could be used to solve the problem?

Answer 1

Let n be nickles.

N($.05)+3N($.10)+2N($.25)=$3.40.

Answer 2

what about,
On a trip, the fare was 50¢ for each adult and 25¢ for each child. If 30 passengers paid $12.25, how many adults and children went?
Which of the following equations could not be used to solve the problem?

Answer 3

Let:
a = number of adults
c = number of children

30 people paid $12.25 with the given fair prices per passenger:

a + c = 30
0.5a + 0.25c = 12.25

two unknowns, two equations.

a = 30 - c

0.5(30 - c) + 0.25c = 12.25
15 - 0.5c + 0.25c = 12.25
15 - 0.25c = 12.25
- 0.25c = -2.75
c = 11

a = 30 - c
a = 30 - 11
a = 19

There were 19 adults and 11 children.

Answer 4

Hope all your questions are answered! ^_^