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?
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?
Solution
The sweetness of a mixture is determined by the ratio of sugar to water. In the recipe, the ratio is 1 ounce of sugar to 9 ounces of water, or 1:9. In Tori's mixture, the ratio is 4 ounces of sugar to 36 ounces of water, which simplifies to 1:9 when you divide both numbers by 4. Therefore, both mixtures are equally sweet.
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