Three types of pepper, V, W and X come in containers of 60 g, 120 g and 150 g respectively. Containers of V, W and X are mixed together in the ratio 1 : 4 : 5 to obtain 14.19 kg of an assortment of pepper.
- How many containers of V and W are used altogether?
- Find the difference between the combined weight of all the pepper in containers W and containers X as compared to the pepper in containers V. Express the weight in kilograms.
|
V |
W |
X |
Number |
1 u |
4 u |
5 u |
Value |
60 |
120 |
150 |
Total value |
60 u |
480 u |
750 u |
(a)
Total mass of pepper
= 60 u + 480 u + 750 u
= 1290 u
1290 u = 14190
1 u = 14190 ÷ 1290 = 11
Total number of containers of V and W used
= 1 u + 4 u
= 5 u
= 5 x 11
= 55
(b)
Combined weight of all the pepper in containers W and containers X
= 480 u + 750 u
= 1230 u
Difference between the combined weight of all the pepper in containers W and containers X as compared to the pepper in containers V
= 1230 u - 60 u
= 1170 u
= 1170 x 11
= 12870 g
= 12.87 kg
Answer(s): (a) 55; (b) 12.87 kg