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Lady bird [3.3K]
2 years ago
8

Currently a product has a gear ratio of 17:5, driver:driven. If the company wants to change the product to have the same gear ra

tio but a driver with 34 teeth, how many teeth must go on the the driven gear?
Mathematics
1 answer:
Sedbober [7]2 years ago
8 0

Answer:

10 teeth must go on the driven gear

Step-by-step explanation:

Let the number of teeth be x

In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that

17:5 = 34:x

\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10

∴ 10 teeth must go on the driven gear

hence ratio = 34:10

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