Adam has some paint.
He uses
34 of it to paint 6 gates and 7 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 |
6 |
7 |
Value |
1 u |
3 u |
Total value |
6 u |
21 u |
(a)
Paint needed for 1 gate = 1 u
Paint needed for 1 desk = 3 u
Paint needed for 6 gates and 7 desks
= 6 x 1 u x 7 x 3 u
= 6 u + 21 u
= 27 u
34 of the paint = 27 u
14 of the paint = 27 u ÷ 3 = 9 u
Fraction of the remaining paint left
= 1 -
34=
14 14 of the paint = 1 x 9 u = 9 u
Remaining paint left = 9 u
Number of gates that Adam can paint with the remaining paint
= 9 u ÷ 1 u
= 9
(b)
Number of desks that Adam can paint with the remaining paint
= 9 u ÷ 3 u
= 3
Answer(s): (a) 9; (b) 3