Math Problem Statement
Solution
Let's break down the problem and verify the answer.
Given:
- A small smoothie requires 60 g of fruit and 100 ml of juice.
- A large smoothie uses 350 ml of juice.
- We need to determine how much fruit is required for the large smoothie.
Step 1: Find the Scaling Factor
Since the small smoothie uses 100 ml of juice, and the large smoothie uses 350 ml, the scaling factor is:
Step 2: Calculate the Fruit Requirement
Since the amount of fruit scales the same way, multiply the fruit amount by 3.5:
Answer:
Emily will need 210 g of fruit.
Would you like a more detailed explanation or have any questions?
Here are 5 related questions for further practice:
- If Emily made a smoothie using 500 ml of juice, how much fruit would she need?
- If she only had 180 g of fruit, how much juice should she use to maintain the proportion?
- What is the ratio of fruit to juice in the original small smoothie?
- If a different smoothie recipe requires 80 g of fruit for 120 ml of juice, how much fruit is needed for 360 ml?
- If Emily wants to make half of a large smoothie, how much fruit and juice should she use?
Tip:
When scaling a recipe or ratio, always use proportional multiplication to ensure accurate results.
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Math Problem Analysis
Mathematical Concepts
Scaling
Ratios
Proportions
Formulas
Scaling Factor = (Large Quantity) / (Small Quantity)
Fruit Needed = Fruit in Small Smoothie × Scaling Factor
Theorems
Basic Proportions
Suitable Grade Level
Grades 5-7
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