Question

Phil has 12 stamps of denominations of $0.37 and $0.23. If the total value of

the stamps is $3.46, how many $0.37 stamps does Phil have?

Answer 1

Phil has 5 stamps that are worth $0.37 and he has 7 stamps worth $0.23

Answer 2

Phil have 5- $0.37 stamps.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Phil has 12 stamps

These stamps come in two denominations: $0.37 and $0.23

The value of these stamps is $3.46

let x be the $0.37 stamps and y be the $0.23 stamps.

So, the equations are

x + y = 12 => y= 12-x

0.37x + 0.23y = 3.46

Solving

0.37x + 0.23 (12-x) = 3.46

0.37x + 2.76 - 0.23x= 3.46

0.14x= 0.7

x= 0.7/0.14

x=70/14

x=5

Now, y= 12-5 = 7

Hence, Phil have 5- $0.37 stamps.

Learn more about unitary method here: