## Martin has a total of 19 nickels (50.05) and dimes ($0.10) worth$1.65. How many of each type of coin does he have? <

Question

Martin has a total of 19 nickels (50.05) and dimes ($0.10) worth$1.65. How many of each type of coin does he have?

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2 weeks 2021-08-31T23:44:02+00:00 1 Answers 0 views 0

Ps i really don’t know where the 50.05 came from if it is suppose to be there then I really don’t know how to solve this.

Step-by-step explanation:

Ok so if you know that there are 19nickels, let n=number of nickels.

The number of total coins subtracted by number of nickels will give you number of dimes.

165-number of nickels=number of dimes

Value of dimes=10(number of dimes) or total value of dimes/individual value (10cent)

Then you can substitute total as $1.65 and get the value of nickels by multiplying by 5cent ( my teacher taught me using whole numbers to make it easier so I turned$1.65 to 165 cent). Since the value of the dimes is the value of nickels subtracted from the total, I can subtract 95 from 165 and divide the difference by 10, to get the number of dimes.

5(n)=5(19)=95

(165-95)/10=number of dimes

70/10=7dimes

You can check by multiplying 7×10 and 5×15 again and adding them together to see if they equal 165 cent.