Amanda and Jessica bought vegetables for their newly opened restaurant. Amanda bought potatoes and onions. For every 18 pounds of potatoes that Amanda bought, she bought 4.5 pounds of onions. Jessica bought broccoli and onions. For every 18 pounds of broccoli that Jessica bought, she bought 4 pounds of onions.

If Amanda bought 60 pounds of potatoes last week, and Amanda and Jessica bought the same amount of onions, then how many pounds of broccoli did Jessica buy last week?

Question

Mathematics

Sage

2 May, 11:05

Amanda and Jessica bought vegetables for their newly opened restaurant. Amanda bought potatoes and onions. For every 18 pounds of potatoes that Amanda bought, she bought 4.5 pounds of onions. Jessica bought broccoli and onions. For every 18 pounds of broccoli that Jessica bought, she bought 4 pounds of onions.

If Amanda bought 60 pounds of potatoes last week, and Amanda and Jessica bought the same amount of onions, then how many pounds of broccoli did Jessica buy last week?

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Answers (1)

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Jean Daugherty · Answer 1

First, we determine the number of onions bought by Amanda using the given ratio above,

O1 = (60 lbs potato) (4.5 lbs onion/18 lbs potato)

O1 = 15 lbs onions

This should also be the same as the amount of onions bought by Jessica. With this, we can then determine the amount of broccoli bought by Jessica given the ratios.

B = (15 lbs onions) (18 lbs broccoli/4 lbs onions)

B = 67.5 lbs broccoli.

Answer: 67.5 lbs broccoli