Ellie requires 280 kg, Popcorn requires 70 kg and Zac requires 140 kg each week
Step-by-step explanation:
The given is:
- Ellie, the elephant, eats 4 times as much as Popcorn, the pony
- Zac, the zebra, eats twice as much as Popcorn
- Altogether, they eat 490 kilograms of feed per week
We need to find how much feed each of them requires each week
Assume that Popcorn eats x kg each week
∵ Popcorn eats x kg each week
∵ Ellie eats 4 times as much as Popcorn
- Multiply x by 4 to find how much Ellie eats
∴ Ellie eats = 4 × x = 4 x kg
∵ Zac eats twice as much as Popcorn
- Multiply x by 2 o find how much Zac eats
∴ Zac eats = x × 2 = 2 x kg
- Add all of them to find how much they eat altogether
∴ Altogether eats = x + 4 x + 2 x = 7 x kg
∵ Altogether, they eat 490 kilograms of feed
- Equate the sum of their eat by 490
∴ 7 x = 490
- Divide both sides by 7
∴ x = 70
∵ Ellie eats 4 x
∴ Ellie eats = 4(70) = 280 kg
∵ Popcorn eats x
∴ Popcorn eats = 70 kg
∵ Zac eats 2 x
∴ Zac eats = 2(70) = 140 kg
Ellie requires 280 kg, Popcorn requires 70 kg and Zac requires 140 kg each week
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