Question

1- A roofing contractor buys 30 bundles of shingles and 4 rolls of roofing paper for $1040. In a second purchase (at the same prices), the contractor buys 8 bundles of shingles for $256. Find the price per bundle of shingles and the price per roll of roofing paper.

Answer 1

Step-by-step explanation:

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Answer 2

SOLUTION

GIVEN

• A roofing contractor buys 30 bundles of shingles and 4 rolls of roofing paper for $1040.

• In a second purchase (at the same prices), the contractor buys 8 bundles of shingles for $256.

TO DETERMINE

The price per bundle of shingles and the price per roll of roofing paper.

EVALUATION

Let price per bundle of shingles = $ x and the price per roll of roofing paper = $ y

Now it is given that a roofing contractor buys 30 bundles of shingles and 4 rolls of roofing paper for $ 1040

So by the given condition

30x + 4y = 1040 - - - - (1)

Again by second condition the contractor buys 8 bundles of shingles for $256

Which gives

8x = 256

$\implies \sf{x = 32}$

From Equation 1 we get

4y = 1040 - ( 32 × 30 )

$\sf{ \implies \: 4y = 1040 - 960}$

$\sf{ \implies \: 4y = 80}$

$\sf{ \implies \: y = 20}$

FINAL ANSWER

Hence price per bundle of shingles = $ 32 and the price per roll of roofing paper = $ 20

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