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?

Answers

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

: 3 rolls of dimes and 4 rolls of nickelsNumber of rolls of dimes and nickelsnumberof rolls = 7Solvingthe two equationnickelsSubstitutiondimes: 3 rolls of dimes and 4 rolls of nickelsNumber of rolls of dimes and nickelshere:https://brainly.com/question/17480906