Three types of bread flour, X, Y and Z come in containers of 160 g, 200 g and 280 g respectively. Containers of X, Y and Z are mixed together in the ratio 2 : 5 : 7 to obtain 26.24 kg of an assortment of bread flour.
- How many containers of X and Y are used altogether?
- Find the difference between the combined weight of all the bread flour in containers Y and containers Z as compared to the bread flour in containers X. Express the weight in kilograms.
|
X |
Y |
Z |
Number |
2 u |
5 u |
7 u |
Value |
160 |
200 |
280 |
Total value |
320 u |
1000 u |
1960 u |
(a)
Total mass of bread flour
= 320 u + 1000 u + 1960 u
= 3280 u
3280 u = 26240
1 u = 26240 ÷ 3280 = 8
Total number of containers of X and Y used
= 2 u + 5 u
= 7 u
= 7 x 8
= 56
(b)
Combined weight of all the bread flour in containers Y and containers Z
= 1000 u + 1960 u
= 2960 u
Difference between the combined weight of all the bread flour in containers Y and containers Z as compared to the bread flour in containers X
= 2960 u - 320 u
= 2640 u
= 2640 x 8
= 21120 g
= 21.12 kg
Answer(s): (a) 56; (b) 21.12 kg