Answer:
95.2 kg
Step-by-step explanation:
A shop sells potatoes and carrots
let c = carrots
let p = potatoes
let TW = Total weight
The shop orders 50.4 kg more potatoes than carrots
p = 50.4 kg + c
Total weight = Mass of p + Mass of c
TW = 50.4 kg + c + c = 50.4 kg + 2c ....... (i)
32% of the total weight is carrots
c = (32 /100 ) * Total weight = 0.32 TW
TW = c / 0.32 ....... (ii)
50.4 kg + 2c = c / 0.32
Multiply all through by 0.32
16.128 + 0.64c = c
c - 0.64c = 16.128
0.36 c = 16.128
c = 16.128 / 0.36 = 44.8 kg
Potatoes = 50.4 kg + c = 50.4 kg + 44.8 kg = 95.2 kg
