A child drinks 200 ml of orange juice (density 1.04 g/ml) and eats 3 banana slices each weighing 50 g. If the density of a banana slice is 0.7 g/ml, what is the total volume of food and drink in milliliters? Give the answer rounded to two decimal places.
Answer
414.29 ml
The correct answer is 414.29 ml — Round to two decimal places: 414.29 ml.
Step-by-step solution
- Calculate mass of orange juice: 200 ml × 1.04 g/ml = 208 g.
- Find volume of orange juice using V = mass ÷ density: 208 g ÷ 1.04 g/ml = 200 ml.
- Find volume of one banana slice: 50 g ÷ 0.7 g/ml = 71.4286 ml.
- For 3 slices, multiply by 3: 71.4286 ml × 3 = 214.2858 ml.
- Add volumes: 200 ml + 214.2858 ml = 414.2858 ml.
- Round to two decimal places: 414.29 ml.
Common mistake: Using wrong density for orange juice or banana slices
Concept tested: Volume from mass and density
Published · How this solution was prepared and checked
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