Question

zoo nutritionist orders 5 1/4 tons of apples and 7 2/4 tonsof bananas each year to feed theanimals. She orders 6 times as manytons of herbivore pellets than tons offruit. How many tons of herbivorepellets does the nutritionist order?

Answer 1

The zoo nutritionist orders 76 1/2 tons of herbivore pellets each year. This was calculated by adding the weight of apples and bananas to get the total fruit tonnage and then multiplying that by 6, as the amount of pellets ordered is six times the fruit tonnage.

Step-by-step explanation:

The subject of this question is Mathematics, and it appears to be at a Middle School level. To find out how many tons of herbivore pellets the zoo nutritionist orders, we first need to calculate the total tons of fruit ordered.

Here's the calculation:

• Apples: 5 1/4 tons
• Bananas: 7 2/4 tons, which simplifies to 7 1/2 tons

We add these two quantities to find the total amount of fruit:

5 1/4 + 7 1/2 = 12 3/4 tons

Now, since the nutritionist orders 6 times as many tons of herbivore pellets as the total tons of fruit, we multiply the total fruit by 6:

12 3/4 tons × 6 = 76 1/2 tons

Therefore, the zoo nutritionist orders 76 1/2 tons of herbivore pellets each year.

Answer 2

From the information provided, the zoo nutritionist orders the following quantity of fruits;

`\begin{gathered} 5(1)/(4)\text{ tons of apples} \\ 7(2)/(4)\text{ tons of bananas} \\ \text{Total}=5(1)/(4)+7(2)/(4) \\ \text{Total}=(21)/(4)+(30)/(4) \\ \text{Total}=(51)/(4)\text{ tons} \\ \end{gathered}`

Next, we are told that the nutritionist orders 6 times as many tons of pellets than tons of fruits.

This means for every ton of fruit ordered, there was 6 tons of pellets ordered.

Therefore;

`\begin{gathered} \text{Fruits:Pellets}=1\colon6 \\ \text{When fruits are }(51)/(4)tons \\ \text{Pellets}=(51)/(4)*6 \\ \text{Pellets}=(306)/(4) \\ \text{Pellets}=76(1)/(2)tons \end{gathered}`

ANSWER:

`\text{Pellets ordered}=76(1)/(2)tons`