Math Problem Statement
Solution
Let's solve the problem step by step.
Given information:
- A small smoothie requires 60 g of fruit and 100 ml of juice.
- A large smoothie uses 350 ml of juice.
- The ratio of fruit to juice remains the same.
Step 1: Find the scaling factor
Since a small smoothie uses 100 ml of juice, and a large smoothie uses 350 ml, the scaling factor is:
Step 2: Scale the fruit amount
Since fruit scales the same way:
Final Answer:
Emily will need 210 g of fruit.
Would you like more clarification or details on any part?
Related Questions:
- What is the ratio of fruit to juice in a small smoothie?
- How much fruit would be needed for a smoothie with 500 ml of juice?
- If Emily makes 5 large smoothies, how much fruit will she need?
- How much juice is required for a smoothie using 150 g of fruit?
- Can you express the proportion of fruit to juice as a percentage?
Tip:
When solving proportion problems, always check that both quantities scale by the same factor.
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Math Problem Analysis
Mathematical Concepts
Proportions
Scaling
Ratios
Formulas
Scaling factor = (new quantity) / (original quantity)
Scaled value = original value × scaling factor
Theorems
Proportionality theorem
Suitable Grade Level
Grades 5-7
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