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Tina brought $37.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as the sketchbook, and the sketchbook cost 3 4 the cost of the paint set. Tina had $4.00 left over after buying these items.

Respuesta :

jasdrt16

Answer:

18.75=p

s=14.06

b=2.34

Step-by-step explanation:

37.75=b+s+p

-4

33.75=b+s+p

s=3/4p

b=1/6s

33.75=1/6(3/4p)+3/4p+p

33.75=3/20p+3/4p+p

(33.75=18/20p+p)20

675=18p+p)/18

37.50=2p)/2

18.75=p

s=3/4p

3/4(18.75)

s=14.06

b=1/6s

1/6(14.06)

b=2.34

37.75-4=18.75+14.06+2.34=35.15

im missing 50 cents somewhere its wrong but close i think sorry

adioabiola

The cost of a brush, a sketchbook and a paint set given the total amount with Tina is $2.25, $13.5 and $18 respectively.

How to write and solve equation?

Total = $37.75

Amount left = $4.00

let

  • paint = p
  • b = 1/6s
  • s = 3/4p

37.75 = p + b + s + 4

37.75 - 4 = p + 1/6s + 3/4p

33.75 = 1/6s + 1 3/4p

33.75 = 1/6(3/4p) + 1 3/4p

33.75 = 3/24p + 7/4p

33.75 = 3+42 / 24p

33.75 = 45/24p

p = 33.75 ÷ 45/24

= 33.75 × 24/45

= 810/45

p = $18

substitute into

s = 3/4p

= 3/4 × 18

= 54/4

s = $13.5

b = 1/6s

b = 1/6 × 13.5

b = 13.5/6

b = $2.25

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