Question

learning goal 3.4: the students will determine which operation should be used to solve a real - world problem.
for gardening, hector has a large water jug that holds $5\frac{3}{4}$ quarts and a small water jug that holds $2\frac{1}{3}$ quarts.

1. which of the questions could be answered using division?

• how much more can the large water jug hold than the small water jug?
• if hector fills both jugs with water, how much water will he have?
• if hector fills the small jug with water 4 times, how much total water will that be?
• suppose hector uses the small jug to fill the large jug. how many times will he have to fill the small jug?

Explanation:

• "How much more..." uses subtraction (find difference).
• "If fills both..." uses addition (sum volumes).
• "Fills small 4 times..." uses multiplication (4 × small jug volume).
• "Use small to fill large..." asks how many times small jug (volume \(2\frac{1}{3}\)) fits into large jug (volume \(5\frac{3}{4}\)), which is division (\(5\frac{3}{4} \div 2\frac{1}{3}\)).

Answer:

Suppose Hector uses the small jug to fill the large jug. How many times will he have to fill the small jug?