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There is a jar of nickels and dimes on a counter. There are 40 coins in the jar; when counted, they have a total value of $3.15. How many nickels are in the jar?

18
20
17
23



Answer :

Answer:

option C:

17 nickels

Step-by-step explanation:

let nickels in the jar = x

let dimes in the jar = y

as per given:

x + y = 40                                (1)

$1 = 20 nickels

$1 = 10 dimes

i.e.

x/20 + y/10 = $3.15                   (2)

from equation (1)

x = 40 - y                                   (3)

substituting value of x in equation (2)

40 - y / 20 + y/10 = 3.15

40 - y + 2y / 20 = 3.15

40 + y = 63

y = 63 - 40 = 23

substituting value of y in equation (3)

x = 40 - 23 = 17 nickels in the jar

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