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You’re making a five-fruit salad using apples, oranges, grapes, strawberries, and blueberries. When you measure the ingredients, you notice the following:
What is the weight of each type of fruit in the salad?
Show your work and justify your answer.
Let’s solve this step by step:
1. The total weight of the salad is 800 grams.
2. The combined weight of apples and oranges is 3/8 of the total:
3/8 × 800 = 300 grams
3. Let x be the weight of oranges. Then 2x is the weight of apples (since apples weigh twice as much as oranges).
x + 2x = 300
3x = 300
x = 100
So, oranges weigh 100 grams and apples weigh 200 grams.
4. We know grapes weigh 160 grams.
5. The remaining weight is for strawberries and blueberries:
800 – (200 + 100 + 160) = 340 grams
6. Let y be the weight of blueberries. Then y + 40 is the weight of strawberries.
y + (y + 40) = 340
2y + 40 = 340
2y = 300
y = 150
So, blueberries weigh 150 grams and strawberries weigh 190 grams.
In summary, the fruit salad contains:
• 200 grams of apples
• 100 grams of oranges
• 160 grams of grapes
• 190 grams of strawberries
• 150 grams of blueberries
Total: 200 + 100 + 160 + 190 + 150 = 800 grams (which matches our initial total)
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