Question

At an office supply store, packs of pencils are sold for $1.50 each, and packs of pens are sold for $4 each. If at the end of the day, the store sold 28 packs of writing utensils and made $67, how many packs of pens and pencils did it sell?

Answer 1

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Information Given
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Pack of pencils = $1.50
Pack of pens = $4
Quality sold = 28
Amount made = $67

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Assumed all are the 28 pack are pencils
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28 x $1.50 = $42

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Find difference in amount between assumption and actual
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$67 - $42 = $25

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Find the difference in price between the two items
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$4 - $1.50 = $2.50

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Find the number of actual packs of pens bought
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$25 ÷ $2.50 = 10

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Find the number of actual packs of pencils bought
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28 - 10 = 18

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Ans: 18 packs of pencils and 10 packs of pens
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Checks:
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Pens : 10 x $4 = $40
Pencils 18 x $1.50 = $27
Total = $40 + $27 = $67  ← Correct

Answer 2

Answer:

The supply store sold 18 packs of pencil and 10 packs of pen

Step-by-step explanation:

The supply store sells writing utensils. The cost for each pencil is $1.50 and the price for each pen is $4.

The total number of pen sold a particular day = 28

let the number of pencil sold = a

the number of pen = b

a + b = 28.................(i)

The total cost made can be computed as

1.5a + 4b = 67..........(ii)

a + b = 28.................(i)

1.5a + 4b = 67..........(ii)

a = 28 - b

insert the value of a in equation (ii)

1.5(28 - b) + 4b= 67

42  - 1.5b  + 4b= 67

67 - 42 = 2.5b

dvide both sides by 2.5

b = 25/2.5

b = 10

insert the value of b in equation (i)

a + b = 28.................(i)

a = 28 - 10

a = 18

The supply store sold 18 packs of pencil and 10 packs of pen