
Help would be appreciated.
Help would be appreciated.
3.5 x8/5 = 5.6
5.6 + 2.8 = 8.4 (this is the 4/7 of original amount)
8.4/4 x 7 = 14.7kg
Diagram shows how the tea was distributed. It is easy to work backwards: 5 blue units is 3.5kg 1 blue unit is 3.5/5 = 0.7kg So leftover = 2 4/5 + 8 x 0.7 = 2.8 + 5.6 = 8.4 Originally he had 8.4 * 7/4 = 14.7kg of tea. Check: Mother = 14.7 * 3/7 = 6.3kg Leftovers = 14.7 - 6.3 = 8.4kg After giving friend = 8.4 - 2 4/5 = 8.4 - 2.8 = 5.6kg Neighbour = 3/8 x 5.6 = 2.1kg Self = 5.6 - 2.1 = 3.5kg
Total Kept for mum Left Gave to friend Rest left
Tea 7u 3u 4u 2 ⅘ kg 4u – 2 ⅘
So given to neighbour = ⅜ ( 4u – 2 ⅘ )
Final left = ⅝ ( 4u – 2 ⅘ )
⅝ ( 4u – 2 ⅘ ) = 3.5 = 3½ = 7/2 ( x 8 on both sides)
5( 4u – 14/5 ) = 28
20u – 14 = 28
u = 42/20 = 2.1
Hence original amount of tea 7u = 7(2.1) = 14.7 kg
Check:
3(2.1) = 6.3
4(2.1) – 2.8 = 5.6
(3/8)(5.6) = 2.1
mom + friend + neighbour + final left = 6.3 + 2.8 + 2.1 + 3.5 = 14.7