Three types of flour, H, J and K come in containers of 120 g, 210 g and 300 g respectively. Containers of H, J and K are mixed together in the ratio 2 : 3 : 4 to obtain 14.49 kg of an assortment of flour.
- How many containers of H and J are used altogether?
- Find the difference between the combined weight of all the flour in containers J and containers K as compared to the flour in containers H. Express the weight in kilograms.
|
H |
J |
K |
Number |
2 u |
3 u |
4 u |
Value |
120 |
210 |
300 |
Total value |
240 u |
630 u |
1200 u |
(a)
Total mass of flour
= 240 u + 630 u + 1200 u
= 2070 u
2070 u = 14490
1 u = 14490 ÷ 2070 = 7
Total number of containers of H and J used
= 2 u + 3 u
= 5 u
= 5 x 7
= 35
(b)
Combined weight of all the flour in containers J and containers K
= 630 u + 1200 u
= 1830 u
Difference between the combined weight of all the flour in containers J and containers K as compared to the flour in containers H
= 1830 u - 240 u
= 1590 u
= 1590 x 7
= 11130 g
= 11.13 kg
Answer(s): (a) 35; (b) 11.13 kg