jacob put hummingbird feeders in his garden. to make the food for his small feeder, he mixed sugar with warm…

jacob put hummingbird feeders in his garden. to make the food for his small feeder, he mixed sugar with warm water. he used the same amount of sugar for his large feeder, but he added more water to completely fill it. which mixture was sweeter? the small feeders mixture was sweeter. the large feeders mixture was sweeter. neither. the mixtures were equally sweet.

jacob put hummingbird feeders in his garden. to make the food for his small feeder, he mixed sugar with warm water. he used the same amount of sugar for his large feeder, but he added more water to completely fill it. which mixture was sweeter? the small feeders mixture was sweeter. the large feeders mixture was sweeter. neither. the mixtures were equally sweet.

Answer

Explanation:

Step1: Define sweetness by sugar - water ratio

Sweetness depends on the ratio of sugar to water. Let the amount of sugar be $s$. For the small feeder, let the amount of water be $w_1$, and for the large feeder, the amount of water be $w_2$ where $w_2>w_1$.

Step2: Calculate sugar - water ratios

The sugar - water ratio for the small feeder is $\frac{s}{w_1}$, and for the large feeder is $\frac{s}{w_2}$.

Step3: Compare the ratios

Since $s>0$, $w_2 > w_1>0$, when the numerator is the same ($s$), the fraction with the smaller denominator is larger. So $\frac{s}{w_1}>\frac{s}{w_2}$.

Answer:

The small feeder's mixture was sweeter.