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lutik1710 [3]
3 years ago
12

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 ha

ve? Show all of your work on your notebook paper.*
I will have whoever answers this question as to the brain list
Mathematics
1 answer:
FrozenT [24]3 years ago
7 0

Answer:

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

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Let us first concentrate on the information’s that are already given in the question. Based on those information’s the answer to the question can be easily found.
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