Adam has some paint.
He uses
47 of it to paint 10 gates and 6 desks.
The amount of paint needed to paint a desk is 3 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 |
10 |
6 |
Value |
1 u |
3 u |
Total value |
10 u |
18 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 desk = 3 u
Paint needed for 10 gates and 6 desks
= 10 x 1 u x 6 x 3 u
= 10 u + 18 u
= 28 u
47 of the paint = 28 u
17 of the paint = 28 u ÷ 4 = 7 u
Fraction of the remaining paint left
= 1 -
47=
37 37 of the paint = 3 x 7 u = 21 u
Remaining paint left = 21 u
Number of gates that Adam can paint with the remaining paint
= 21 u ÷ 1 u
= 21
(b)
Number of desks that Adam can paint with the remaining paint
= 21 u ÷ 3 u
= 7
Answer(s): (a) 21; (b) 7