Question

Ariana has $1.40 worth of nickels and dimes. She has twice as many nickels as dimes. Determine the number of nickels and the number of dimes that Ariana has.

Answer 1

Answer:

14 nickels

7 dimes

Step-by-step explanation:

1. find out how many dimes there has to be to get $1.40

1 dime= .10

1.40/.10=14 dimes

14/2=7

so there are 7 dimes

since a nickel is half the amount of a dime there will be twice as many to make up the other half which is $0.70

.70/.05=14

there are 14 nickels

proof:

$0.10(7)+$0.05(14)= $1.40

hope this helps!

Answer 2

The number of dimes = 7

The number of nickels = 14

The worth of her nickels and dimes is $1.40.

1 nickel = $0.05

1 dime = $0.1

let

the number of dimes = x

the number of nickel = y

She has twice as many nickels as dimes. Therefore,

• y = 2x

So,

0.05(2x) + 0.1(x) = 1.40

0.1x + 0.1x = 1.40

0.2x = 1.40

x = 1.40/0.2

x = 7

y = 2(7) = 14

Number of dimes = 7

Number of nickels = 14

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