From his daily allowance, Eric has saved 74 coins made up of denomination of one peso and five pesos. How many

Question

From his daily allowance, Eric has saved 74 coins made up of denomination of one peso and five pesos. How many of each kind has he is the coins amount to 170 pesos?

Answer 1

Let a = number of 1 peso, b = number of 5 peso. Then
a+b = 74
a+5b = 170
So 4b = 96
so b = 24, a = 50
.

Answer 2

Let a and b the number of one peso and 5 peso coins respectively. We are given that a + b = 74 and a + 5b = 170

Subtracting the first equation from the second, we get

4b = 170 - 74 = 96

b = 96/4 = 24

a = 74 - 24 = 50

So, we have 50 one peso coins and 24 nos. of 5 peso coins.

Answer 3

let x = number of 1 pesos
let y = number of 5 pesos

x+y = 74 (there are 74 coins)

x+5y=170 (value of coins is 170)

From the first equation, x=74-y, plug this into the second to get:

74-y+5y=170 or 4y=96 therefore y=24

if y = 24, x=50

so there are 50 one peso piece and 24 five peso piece