Three types of bread flour, X, Y and Z come in containers of 150 g, 250 g and 400 g respectively. Containers of X, Y and Z are mixed together in the ratio 2 : 5 : 6 to obtain 19.75 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 |
6 u |
Value |
150 |
250 |
400 |
Total value |
300 u |
1250 u |
2400 u |
(a)
Total mass of bread flour
= 300 u + 1250 u + 2400 u
= 3950 u
3950 u = 19750
1 u = 19750 ÷ 3950 = 5
Total number of containers of X and Y used
= 2 u + 5 u
= 7 u
= 7 x 5
= 35
(b)
Combined weight of all the bread flour in containers Y and containers Z
= 1250 u + 2400 u
= 3650 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
= 3650 u - 300 u
= 3350 u
= 3350 x 5
= 16750 g
= 16.75 kg
Answer(s): (a) 35; (b) 16.75 kg