Final answer:
To find out how long it will take the shop to produce 429 wet suits, we need to set up a proportion and solve for the unknown. It will take the shop 22 weeks to produce 429 wet suits.
Step-by-step explanation:
To find out how long it will take the shop to produce 429 wet suits, we need to figure out how many batches of 39 wet suits it will take to reach that number. Since the shop produces 39 wet suits every 2 weeks, we can set up a proportion to solve this problem:
39 wet suits / 2 weeks = 429 wet suits / x weeks
Cross-multiply to get:
39 * x = 2 * 429
Divide both sides by 39:
x = 2 * 429 / 39
Simplify:
x = 22
Therefore, it will take the shop 22 weeks to produce 429 wet suits.