Question

A zoo has a limited daily supply of leaves to feed elephants and giraffes. Every day, each giraffe eats the same amount of leaves, and each elephant eats 47\text{ kg}47 kg of leaves. Let EE represent the number of elephants and GG represent the number of giraffes that the zoo can feed with its daily supply of leaves. 47E+24G \leq 50047E+24G?500 According to the inequality, what is the zoo's daily supply of leaves, and how many \text{kg}kg of leaves does each giraffe eat per day?

Answer 1

1. Daily supply of leaves is 500 kg;

2. Each giraffe eats 24 kg of leaves per day.

Explanation:

Let E represent the number of elephants and G represent the number of giraffes that the zoo can feed with its daily supply of leaves.

If each elephant eats 47 kg of leaves, then E elephants eat 47E kg of leaves.

Consider inequality

`47E+24G \leq 500.`

The first term of this inequaliy represents the number of kilograms all elephants in zoo eat per day. The second term 24G represents the number of kilograms all giraffes in zoo eat per day. The sum 47E+24G represents the number of kilograms all elephants and giraffes in zoo eat per day (together). This amount of leaves should be less or equal than 500 kg. This means that all elephants and giraffes cannot eat more than 500 kg of leaves per day.

Answer 2

The zoo's daily supply of leaves is 500 kg leaves at most.

Each giraffe eats 24 kg leaves per day.

Explanation:

We have been given an inequality:
`47E+24G\leq 500`, where E represents the number of elephants and G represents the number of Giraffes. Every day, each giraffe eats the same amount of leaves, and each elephant eats 47 kg of leaves.

We can see that each elephant eats 47 kg of leaves per day, which is represented by 47E in our given inequality. The amount of leaves eaten by a giraffe is 24 kg, which is represented by 24G in our given inequality, therefore, each giraffe eats 24 kg leaves per day.

We can see that total amount of leaves eaten by E elephants and G giraffes is less than or equal to 500, which means that zoo's daily supply of leaves is at most 500 kg.