Three types of chilli powder, T, U and V come in containers of 160 g, 240 g and 320 g respectively. Containers of T, U and V are mixed together in the ratio 3 : 4 : 6 to obtain 33.6 kg of an assortment of chilli powder.
- How many containers of T and U are used altogether?
- Find the difference between the combined weight of all the chilli powder in containers U and containers V as compared to the chilli powder in containers T. Express the weight in kilograms.
|
T |
U |
V |
Number |
3 u |
4 u |
6 u |
Value |
160 |
240 |
320 |
Total value |
480 u |
960 u |
1920 u |
(a)
Total mass of chilli powder
= 480 u + 960 u + 1920 u
= 3360 u
3360 u = 33600
1 u = 33600 ÷ 3360 = 10
Total number of containers of T and U used
= 3 u + 4 u
= 7 u
= 7 x 10
= 70
(b)
Combined weight of all the chilli powder in containers U and containers V
= 960 u + 1920 u
= 2880 u
Difference between the combined weight of all the chilli powder in containers U and containers V as compared to the chilli powder in containers T
= 2880 u - 480 u
= 2400 u
= 2400 x 10
= 24000 g
= 24 kg
Answer(s): (a) 70; (b) 24 kg