Adam has some paint.
He uses
37 of it to paint 3 desks and 5 gates.
The amount of paint needed to paint a gate is 3 times that of a desk.
- How many desks can he paint using the remaining paint?
- How many gates can he paint using the remaining paint?
|
Desks |
Gates |
Number |
3 |
5 |
Value |
1 u |
3 u |
Total value |
3 u |
15 u |
(a)
Paint needed for 1 desk = 1 u
Paint needed for 1 gate = 3 u
Paint needed for 3 desks and 5 gates
= 3 x 1 u x 5 x 3 u
= 3 u + 15 u
= 18 u
37 of the paint = 18 u
17 of the paint = 18 u ÷ 3 = 6 u
Fraction of the remaining paint left
= 1 -
37=
47 47 of the paint = 4 x 6 u = 24 u
Remaining paint left = 24 u
Number of desks that Adam can paint with the remaining paint
= 24 u ÷ 1 u
= 24
(b)
Number of gates that Adam can paint with the remaining paint
= 24 u ÷ 3 u
= 8
Answer(s): (a) 24; (b) 8