Question

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. How much feed does each of them require each week?

Answer 1

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

Learn more:

You can learn more about the the word problems in brainly.com/question/3950386

#LearnwithBrainly