Question

joanna has 7 rolls of coins worth 23 dollars. She has rolls of dimes worth 5 dollars each, and rolls of nicklets worth 2 dollars each.
how many rolls of each kind does she have?

1. thugiang
If  She has rolls of dimes worth 5 dollars each, and rolls of nicklets worth 2 dollars each. how many rolls of each kind does she have is: 3 rolls of dimes and 4 rolls of nickels​

### Number of rolls of dimes and nickels

Number of rolls of dimes = x
Number of rolls of nickels = y
Total number of rolls = 7
x + y = 7 …… Equation 1
Total amount = \$ 23
5x + 2y = 23 ——– Equation 2
Solving the two equation
x + y = 7
x=7-y
Substitute into equation 2
5x + 2y = 23
5(7-y)+2y=23
35-5y+2y=23
Collect like terms
-3y=23-35
-3y=-12
Divide both side by -3y
y=-12/-3
y=4 nickels
Substitution
x+y=7
Where y=4
x+4=7
x=7-4
x=3 dimes
Therefore If  She has rolls of dimes worth 5 dollars each, and rolls of nicklets worth 2 dollars each. how many rolls of each kind does she have is: 3 rolls of dimes and 4 rolls of nickels​