Adam has some paint.
He uses
47 of it to paint 4 gates and 6 desks.
The amount of paint needed to paint a desk is 2 times that of a gate.
- How many gates can he paint using the remaining paint?
- How many desks can he paint using the remaining paint?
|
Gates |
Desks |
Number |
4 |
6 |
Value |
1 u |
2 u |
Total value |
4 u |
12 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 desk = 2 u
Paint needed for 4 gates and 6 desks
= 4 x 1 u x 6 x 2 u
= 4 u + 12 u
= 16 u
47 of the paint = 16 u
17 of the paint = 16 u ÷ 4 = 4 u
Fraction of the remaining paint left
= 1 -
47=
37 37 of the paint = 3 x 4 u = 12 u
Remaining paint left = 12 u
Number of gates that Adam can paint with the remaining paint
= 12 u ÷ 1 u
= 12
(b)
Number of desks that Adam can paint with the remaining paint
= 12 u ÷ 2 u
= 6
Answer(s): (a) 12; (b) 6