Question

Gabby and Sydney bought some pens and pencils. Gabby bought 4 pens and 5 pencils for $6.71. Sydney bought 5 pens and 3 pencils for $7.12. Find the cost of each. Enter your amount as a dollar amount. Pens cost $ Pencils cost $

Answer 1

the pens cost and the pencil cost be $1.19 and $0.39 respectively

Explanation:

The computation of the pens cost and the pencil cost is shown below:

Let us assume the cost of the pens be x

And the cost of the pencils be y

Now the equations would be

4x + 5y = $6.71..............(1)

5x + 3y = $7.12.........(ii)

Now multiply by 5 and 4 in equation 1 and 2

20x + 25y = $33.55

20x + 12y = $28.44

13y = $5.11

y = $0.39

Now put the y value in any equation

4x + 5(0.39) = $6.71

4x + $1.95 = $6.71

4x = $4.76

x = $1.19

Hence, the pens cost and the pencil cost be $1.19 and $0.39 respectively