Liana is making lemonade. She uses the table below to show the ratio of the number of lemons to the number of ounces of sugar used in the recipe.

The table shows number of lemons in the first column and ounces of sugar in the second column. The rows show 4 lemons and 6 ounces of sugar, 8 lemons and 12 ounces of sugar, 10 lemons and unknown ounces of sugar, 12 lemons and 18 ounces of sugar, and 16 lemons and 24 ounces of sugar.

If Liana has 10 lemons, how many ounces of sugar will she need?

A.
14

B.
15

C.
16

D.
17

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To find out how many ounces of sugar Liana needs for 10 lemons, we can analyze the ratio from the table.

From the given data:

  • 4 lemons → 6 ounces of sugar
  • 8 lemons → 12 ounces of sugar
  • 10 lemons → unknown ounces of sugar
  • 12 lemons → 18 ounces of sugar
  • 16 lemons → 24 ounces of sugar

Now, let's determine the ratio of lemons to ounces of sugar.

The ratio can be simplified to:

  • For 4 lemons and 6 ounces: \( \frac{6}{4} = 1.5 \) ounces of sugar per lemon.
  • For 8 lemons and 12 ounces: \( \frac{12}{8} = 1.5 \) ounces of sugar per lemon.
  • For 12 lemons and 18 ounces: \( \frac{18}{12} = 1.5 \) ounces of sugar per lemon.
  • For 16 lemons and 24 ounces: \( \frac{24}{16} = 1.5 \) ounces of sugar per lemon.

The pattern shows that Liana uses 1.5 ounces of sugar for every lemon.

Now, to find the amount of sugar needed for 10 lemons:

\[ 10 \text{ lemons} \times 1.5 \text{ ounces of sugar per lemon} = 15 \text{ ounces of sugar} \]

Thus, Liana will need 15 ounces of sugar for 10 lemons.

The answer is B. 15.