Ms. Fraser has 12 coins in her pocket which are dimes and nickels. If she has 85 cents in all, how many of each coin does she have? Show all of your work on your notebook paper.*

I will have whoever answers this question as to the brain list

She have 5 number of dimes and 7 number of nickel

Step-by-step explanation:

let

number of dimes = a

number of nickels = b

Total number of dimes and nickel can be expressed as follows:

a + b = 12 ... (i)

Total cost of dimes and nickel can be express below:

1 dimes = 10 cents

1 nickel = 5 cents

10a + 5b = 85 ... (ii)

combine the equation

a + b = 12 ... (i)

10a + 5b = 85 ... (ii)

a = 12 - b

insert the value of a in equation (ii)

10 (12 - b) + 5b = 85

120 - 10b + 5b = 85

120 - 5b = 85

120 - 85 = 5b

35 = 5b

divide both sides by 5

b = 35/5

b = 7

Insert the value of b in equation (i)

a + b = 12 ... (i)

a + 7 = 12

a = 12 - 7

a = 5

She have 5 number of dimes and 7 number of nickel