Question

Kathy has 30 coins consisting of dimes and quarters that total $5.10. How many coins of each type does she have?

Answer 1

Answer:

dimes are 16

quarter are 14

Step-by-step explanation:

Kathy dime and quarter

dime = x = 10 cents

quarter = y = 25 cents

total amount = 510 cents

x + y = 30

multiply with 10

10x + 10y = 300. equ (1)

10x + 25y = 510 equ (2)

(2) - (1)

15y = 210

y = 210/15

y = 14

x + y = 30

x + 14 = 30

x = 30 - 14

x = 16

Answer 2

Answer:

Dimes=16

Quarters=14