The problem states that a bakery uses a certain amount of granola for every 10 batches of energy bars. The table shows the number of cups of granola used for raisin nut and honey almond energy bars. We need to determine if the bakery uses more granola to make 30 batches of raisin nut energy bars than to make 15 batches of honey almond energy bars.

1. Problem Description

The problem states that a bakery uses a certain amount of granola for every 10 batches of energy bars. The table shows the number of cups of granola used for raisin nut and honey almond energy bars. We need to determine if the bakery uses more granola to make 30 batches of raisin nut energy bars than to make 15 batches of honey almond energy bars.

2. Solution Steps

First, we need to find out how much granola is used for 30 batches of raisin nut energy bars.

The table indicates 28 cups of granola are used for 10 batches of raisin nut energy bars.

To find the amount of granola for 30 batches, we can set up a proportion or multiply the amount of granola used for 10 batches by 3 since $30 = 3 \times 10$.

Granola for 30 batches of raisin nut $= 3 \times 28$ cups

$3 \times 28 = 84$ cups

Next, we need to find out how much granola is used for 15 batches of honey almond energy bars.

The table indicates 42 cups of granola are used for 10 batches of honey almond energy bars.

To find the amount of granola for 15 batches, we can first find the amount of granola used for 1 batch and then multiply by

1

5. Alternatively, we can recognize that 15 batches is $1.5 \times 10$ batches and multiply the amount of granola for 10 batches by 1.

5.

Granola for 15 batches of honey almond $= 1.5 \times 42$ cups

$1.5 \times 42 = 63$ cups

Now, we compare the amount of granola for 30 batches of raisin nut energy bars and 15 batches of honey almond energy bars.

84 cups (raisin nut) > 63 cups (honey almond)

Therefore, the bakery uses more granola to make 30 batches of raisin nut energy bars than to make 15 batches of honey almond energy bars.

3. Final Answer

Yes, Mike is correct. The bakery uses 84 cups of granola to make 30 batches of raisin nut energy bars and 63 cups of granola to make 15 batches of honey almond energy bars. Since 84 > 63, the bakery uses more granola for the raisin nut energy bars.