Question

A shop sells potatoes and carrots. The shop orders 50.4 kg more potatoes than carrots. 32% of the total weight is carrots. How many kilograms of potatoes does the shop order?

Answer 1

95.2 kg

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