Question

Ahmad bought 9 identical pencils for $13.05 and 6 identical glue sticks for $12.90. How much do 3 such pencils and 3 such glue sticks cost altogether? (please show working)

Answer 1

Your Answer Is $ 10.80

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ExplanaTion:-

Given:-

• Cost of 9 Pencils = $ 13.05

• Cost of 6 glue sticks = $ 12.90

To Find:-

• The total cost of 3 pencils And 3 glue sticks.

Now,

Let the cost of 1 pencil be x and cost of 1 gluestick be y.

Therefore ATQ:-

↦ 9 × Cost of one pencil = $ 13.05

↦ 9 × x = $ 13.05

↦ 9x = $ 13.05

↦ x = $ 13.05/9

↦ x = $ 1.45

Therefore cost of 1 pencil = $ 1.45.

Similarly,

↦ 6 × Cost of 1 glue stick = $ 12.90

↦ 6 × y = $ 12.90

↦ 6y = $ 12.90

↦ y = $ 12.90/6

↦ y = $ 2.15

Therefore cost of 1 glue stick = $ 2.15

Hence,

Total cost of 3 pencils and 3 glue sticks,

= 3x + 3y.

= (3 × $1.45) + (3 × $2.15).

= $4.35 + $6.45.

= $ 10.80

Therefore the altogether cost of 3 pencils and 3 glue sticks is $ 10.80