Question

Fatima plans to spend at least $15 and at most $20 dollars on sketch pads and pencils. If she buys 2 sketchpads, how many pemcils can she buy while staying in her price range?

Answer 1

Answer:

BRAINLIEST PLEASEEEE

12 - 18 Pencils

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Step-by-step explanation:

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Let p be the number of pencils Fatima can buy.

The total cost of the 2 sketch pads and p pencils is:

2(3.25) + p(0.75) = 6.50 + 0.75p

Since Fatima plans to spend at least $15 and at most $20, then we can write the inequality:

15 ≤ 6.50 + 0.75p ≤ 20

Subtract 6.50 from each member:

8.50 ≤ 0.75p ≤ 13.50

divide each member by 0.75:

11.33 ≤ p ≤ 18

Because Fatima cannot buy a fractional number of pencil, then she can buy 12 to 18 pencils.

Answer 2

The number of pencils  she can  buy while staying in her price range is from 12 to 18 pencils

let x represent  the number of pencils she can buy .

First step is to calculate the Total cost

Total cost=2($3.25) + x($0.75)

Total cost=$6.50 + $0.75x

Second step is to write the inequality

Inequality=15 ≤ 6.50 + 0.75p ≤ 20

Third step is to substract $6.50

8.50 ≤ 0.75p ≤ 13.50

Fourth step is to divide each  by 0.75

8.50/0.75=11.33

13.50/0.75=18

11.33 ≤ x ≤ 18

Therefore   The number of pencils  she can  buy while staying in her price range is  from  12 to 18 pencils

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