Question

Amy found an old-fashioned lemonade recipe that uses 1 cup of lemon juice for every 6 cups of water. Rebecca found a recipe that uses 2 cups of lemon juice for every 12 cups of water. Which statement about the two recipes is true?

1) The recipes use the same ratio of lemon juice to water.
2) Amy's recipe uses more lemon juice than Rebecca's recipe.
3) Rebecca's recipe uses more lemon juice than Amy's recipe.
4) The recipes use different ratios of lemon juice to water.

Answer 1

Both Amy's and Rebecca's lemonade recipes use the same ratio of lemon juice to water, which is 1:6.

Step-by-step explanation:

To determine which lemonade recipe uses a greater or lesser amount of lemon juice, we need to compare the ratios of lemon juice to water in both recipes. Amy's recipe uses 1 cup of lemon juice to 6 cups of water, which can be represented as the ratio 1:6. Rebecca's recipe uses 2 cups of lemon juice to 12 cups of water, which simplifies to the ratio 1:6 after dividing both the numerator and the denominator by 2. Therefore, the ratios are equivalent, meaning that the two recipes use the same ratio of lemon juice to water.