Question

Tori bought some butterfly feeders, and she needs to fill them before she puts them in her garden. She finds a recipe online for a sugar water mixture that will attract butterflies. The recipe says to mix 1 ounce of sugar with 9 ounces of water. Tori decides to make one large batch so she can fill all her feeders at once. In a pot, she mixes 4 ounces of sugar with 36 ounces of water. Which mixture is sweeter?

Answer 1

Both the original recipe and Tori's mixture have the same sweetness ratio of 1:10, with 1 part sugar to 10 parts mixture. Therefore, neither mixture is sweeter than the other as they contain the same proportion of sugar.

Step-by-step explanation:

The question involves comparing the sweetness of two sugar water mixtures to determine which one is sweeter.

The original mixture recipe calls for mixing 1 ounce of sugar with 9 ounces of water, while Tori mixed 4 ounces of sugar with 36 ounces of water for her butterfly feeders.

Firstly, let's find out the sweetness ratio of the original recipe by dividing the amount of sugar by the total amount of mixture (sugar + water).

For the original recipe, the sweetness ratio is 1 ounce of sugar to 10 ounces of the mixture (1 + 9), which simplifies to a ratio of 1:10.

Now let's calculate the sweetness ratio of Tori's mixture,

which is 4 ounces of sugar to 40 ounces of the mixture (4 + 36), resulting in the same 1:10 ratio.

Since the ratios are identical, both mixtures are equally sweet.

Hence neither mixture is sweeter than the other because the proportion of sugar to the total mixture remains the same.