Question

Ava bought some pens for $ 2 each and some pencils for $ 1 each. She bought 3 more pens than pencils and spent a total of $ 12. How many pencils did Ava buy?

Answer 1

Explanation:

price of 1 pen= $ 2

price of 1 pencil= $1

total money spent= $12

Let the number of pen be a and number of pencil be b.

2 a + b = 12 ----------------Equation 1

We have, she bought 3 more pens than pencils

a - b = 3 ------------------ Equation 2

Equation 1 +Equation 2,

2 a + b + a - b = 12 + 3

3a = 15

a = 5

Substituting in equation

5 - b = 3

b = 2

Number pencils Ava bought = 2