Question

Carrie mixs her lemonade using 3.75 cups of sugar for every 15 lemons.Nate mixs lemonade using 2.5 cups of sugar for every 10 lemons.Which statment regarding the ratios of cups of sugar to numbers of lemons in Carrie's lemonade and Nate's lemanade is true?

Answer 1

Upon simplification, both Carrie and Nate use a ratio of 0.25 cups of sugar per lemon, which indicates that their lemonade mixtures have identical sugar to lemon ratios.

Step-by-step explanation:

To determine which statement is true regarding the ratios of cups of sugar to numbers of lemons in Carrie's lemonade and Nate's lemonade, we need to compare the ratios. Carrie uses 3.75 cups of sugar for every 15 lemons, and Nate uses 2.5 cups of sugar for every 10 lemons.

To compare the ratios, we should simplify them to a common base. For Carrie:

3.75 cups of sugar / 15 lemons = 0.25 cups of sugar / 1 lemon

For Nate:

2.5 cups of sugar / 10 lemons = 0.25 cups of sugar / 1 lemon

Both ratios simplify to 0.25 cups of sugar per lemon, which means that Carrie's and Nate's lemonade have identical sugar to lemon ratios.