Question

seo-jun has 32 coins in his pocket . the coins consist of onilly nickels and quaters . the total value of the coins is $4.00
how many of each coin does he have in his pocket

Answer 1

Seo-jun has 20 nickels and 12 quarters in his pocket.

let

x = number of nickels coins

y = number of quarters coins

He has a total of 32 coins in his pocket. Therefore,

Total coins:

• x + y = 32

The total coins is worth $4. Therefore,

Total worth of coins:

• 0.05x + 0.25y = 4

Therefore,

x + y = 32

0.05x + 0.25y = 4

0.05x + 0.05y  = 1.6

0.05x + 0.25y = 4

0.2y = 2.4

y = 2.4 / 0.2

y = 12

x = 32 - 12

x = 20

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