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Hippiekoolaid
27.02.2021 •
Mathematics
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?
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Ответ:
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
Ответ: