Answer:
The brush cost $1.75, the sketchbook cost $5.25 and the paint set cost $10.5
Step-by-step explanation:
Fatima brought $19.50 to the art supply store which she used to buy a brush, a sketchbook, and a paint set.
After buying them, she had $2.00 left over.
Let the cost of the brush be b.
Let the cost of the sketchbook be s.
Let the cost of the paint set be p.
This means that:
b + s + p + 2 = 19.5 __________(1)
The brush was 1/3 as much as the sketchbook:
b = 1/3 * s = s/3 ______ (2)
The sketchbook cost 1/2 the cost of the paint set:
s = 1/2 * p
=> p = 2s________(3)
Putting (2) and (3) in (1):
s/3 + s + 2s + 2 = 19.5
=> 10s/3 = 19.5 - 2
10s/3 = 17.5
10s = 17.5 * 3
10s = 52.5
s = $5.25
Putting this back in (2)
b = 5.25 / 3 = $1.75
Putting the value of a back in (3)
p = 2 * 5.25 = $10.5
Therefore, the brush cost $1.75, the sketchbook cost $5.25 and the paint set cost $10.5
