Question

4 rafiq makes a fruit punch using 48 fluid ounces of grape juice and some seltzer water. he wants to make 10 equal servings that are at least 9 fluid ounces each. should he add 32 or 48 fluid ounces of seltzer water? explain. show your work. solution

Explanation:

Step1: Calculate total minimum volume

$$10 \times 9 = 90 \text{ fluid ounces}$$

Step2: Test 32 oz seltzer total volume

$$48 + 32 = 80 \text{ fluid ounces}$$

Step3: Test 48 oz seltzer total volume

$$48 + 48 = 96 \text{ fluid ounces}$$

Step4: Compare to minimum requirement

$80 < 90$ (insufficient); $96 \geq 90$ (sufficient)

Answer:

He should add 48 fluid ounces of seltzer water. The total minimum volume needed for 10 servings of at least 9 fluid ounces each is 90 fluid ounces. Adding 32 ounces of seltzer only gives 80 total ounces, which is not enough, while adding 48 ounces gives 96 total ounces, which meets and exceeds the minimum requirement.