Question

The cheerleaders from Newberg High School are doing a giftwrapping fundraiser at a clothing
store. Yesterday, they wrapped 26 small clothing boxes and 39 large clothing boxes, using a
total of 468 feet of wrapping paper. The day before, they wrapped 28 small clothing boxes
and 39 large clothing boxes, using a total of 480 feet of gift wrap. How much paper does it
take to wrap each size of box?
Each small box uses
feet of paper and each large one uses
feet.

Answer 1

Answer:

Step-by-step explanation:

It takes 8 feet to wrap the small box and 12 feet to wrap the large box

Step-by-step explanation:

The cheerleaders from Campo high school are doing a gift wrapping fundraiser at a clothing store

   Yesterday, they wrapped 36 small clothing boxes and 25 large clothing boxes, using a total of 588 feet of wrapping paper

   The day before, they wrap 27 small clothing boxes and 29 large clothing boxes, using a total of 564 feet of gift wrap

We need to find how much paper it takes to wrap each size of box

Assume that they need x feet to wrap a small box and y feet to wrap a large box

∵ The small box is wrapped by x feet

∵ The large box is wrapped by y feet

∵ They wrapped 36 small clothing boxes and 25 large clothing

  boxes, using a total of 588 feet

∴ 36x + 25y = 588 ⇒ (1)

∵ They wrapped 27 small clothing boxes and 29 large clothing

  boxes, using a total of 564 feet

∴ 27x + 29y = 564 ⇒(2)

Now we have a system of equation to solve it

Multiply equation (1) by -3 and equation (2) by 4 to eliminate x

∵ -108x - 75y = -1764 ⇒ (3)

∵ 108x + 116y = 2256 ⇒ (4)

- Add equations (3) and (4)

∴ 41y = 492

- Divide both sides by 41

∴ y = 12

- Substitute the value of y in equation (1) or (2)

∵ 27x + 29(12) = 564

∴ 27x + 348 = 564

- Subtract 348 from both sides

∴ 27x = 216

- Divide both sides by 27

∴ x = 8

It takes 8 feet to wrap the small box and 12 feet to wrap the large box