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Question

Difficulty: EasyRatios and Proportions

In a medical supply drop, the ratio of bandages to antiseptic bottles is 7:37:3. If there are 210210 antiseptic bottles in the drop, how many bandages are included?

Answer: 490 bandages

Answer

490
The proportion must match the quantity of bandages to antiseptics. Since the ratio is 77 parts bandages for every 33 parts antiseptics, and the actual number of antiseptics is 210210 (7070 times the ratio amount), the number of bandages must also be 7070 times its ratio amount. Therefore, 7×70=4907 \times 70 = 490 bandages.

Step-by-Step Solution

1
Identify the known ratio and the known quantity.
The ratio of bandages to antiseptics is 7:37:3, and there are 210210 antiseptics.
To correctly set up a mathematically accurate proportion.
2
Set up the proportion equation.
73=x210\frac{7}{3} = \frac{x}{210}
To relate the given simplified ratio to the actual numbers.
3
Solve the proportion for xx.
x=7×2103=7×70=490x = \frac{7 \times 210}{3} = 7 \times 70 = 490
To find the unknown number of bandages.

Key Concept

Solving basic proportions from a given part-to-part ratio
Estimated Time:45s
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Topics

Ratios and Proportions

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