To find out how many whole gallons of milk you can buy for $14 at each store, we need to know the price per gallon of milk at each store. Let’s assume the price of milk at Store A is \( p_A \) dollars per gallon and at Store B is \( p_B \) dollars per gallon.
We can use the following equation to represent the number of whole gallons of milk you can buy:
\[ g = \frac{14}{p} \]
Where:
- \( g \) is the number of whole gallons.
- \( p \) is the price per gallon of milk at the store.
In this case, since you can only buy whole gallons, we'll need to take the floor of the division, which means rounding down to the nearest whole number. This can be expressed as:
\[ g = \left\lfloor \frac{14}{p} \right\rfloor \]
Now let’s solve for \( g \) at each store.
Example:
-
Store A has milk priced at $3 per gallon: \[ g_A = \left\lfloor \frac{14}{3} \right\rfloor \] \[ g_A = \left\lfloor 4.67 \right\rfloor = 4 \]
-
Store B has milk priced at $2.50 per gallon: \[ g_B = \left\lfloor \frac{14}{2.5} \right\rfloor \] \[ g_B = \left\lfloor 5.6 \right\rfloor = 5 \]
So, at Store A, you can buy 4 whole gallons of milk for $14, and at Store B, you can buy 5 whole gallons.
You would need the specific prices to calculate the exact number of gallons for each store accordingly. If you provide those prices, I can help you compute the specific answers!
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