Question

Scott brought $23.25 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was one fourth as much as the sketchbook, and the sketchbook cost two thirds the cost of the paint set. Scott had $4.00 left over after buying these items.

Answer 1

Paint set cost = 10.5 , Sketch book cost = 7 , Brush cost = 1.75

Explanation:

Let the cost of paint set be = p

Cost of sketchbook 's' = (2 / 3) p

Cost of brush 'b' = 1/4th of s = 1 / 4 [ (2 / 3) p ] = (1 / 6) p

Total expenditure = Money bought - Money left = 23.25 - 4 = 19.25

Total expenditure = Cost of (pen + of sketchbook + of brush) = p + s + b

= p + (2 / 3) p + (1 / 6) p = 19.25 → p + 2p / 3 + p / 6 = 19.25

( 6p + 4p + p ) / 6 = 19.25 → 11p / 6 = 19.25 → p = ( 19.25 x 6 ) / 11

p = 10.5 ; s = (2 / 3) p = 2 / 3 (10.5) = 7 ; b = (1 / 6) p = 10.5 / 6 = 1.75