2 years ago

I have $25 all in nickels and dimes. There are twice as many Nickles as dimes. How many of each are there?

Mathematics

1 answer:

Mama L [17]2 years ago

7 0

Answer:

N=250

Step-by-step explanation:

"twice as many nickels as dimes" means N =2D [eq1]

"collection of nickels and dimes is worth $25" means

5N + 10D = 2500 [eq2]

(To avoid using decimal points, PLZ express everything in cents.)

Substitution (substitute N from eq1 into eq2]:

5(2D) + 10D = 2500

10D + 10D = 2500

20D = 2500

D = 125

N=2D [eq1 again]

N=2(125)

N=250

Check:

Is 5(250) + 10(125) = 2500 ?

1250 + 1250 = 2500 ?

2500 = 2500 ?yes

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