Question

Rosetta Stones La... IX Search topics and skills Learning Diagnostic Analytics Recommendations Skill plans Math Language arts Science Soc Level H R.15 Ratios and rates: word problems 289 You have prizes to reveal! Go to your game board Every summer, Kendra plants a vegetable garden in her yard. Last year, she planted 6 rows of tomatoes and 8 rows of peppers, Kendra wants to keep the same ratio this year, but she only plans to plant 3 rows of tomatoes. How many rows of peppers will Kendra plant this year? rows of peppers Submit​

A) 2 rows of peppers
B) 4 rows of peppers
C) 6 rows of peppers
D) 9 rows of peppers

Answer 1

Kendra's planting plan uses a tomato to pepper ratio of 3:4. For every 3 rows of tomatoes, she will plant 4 rows of peppers. Since she plans to plant 3 rows of tomatoes this year, she will need to plant 4 rows of peppers to maintain the same ratio.

Step-by-step explanation:

To help Kendra solve her ratios and rates problem, we must first understand the initial ratio of tomato to pepper rows. Last year, she planted 6 rows of tomatoes and 8 rows of peppers. This gives us a ratio of 6:8, which can be simplified to 3:4 by dividing both numbers by 2. Therefore, for every 3 rows of tomatoes, Kendra plants 4 rows of peppers.

This year, Kendra plans to plant 3 rows of tomatoes. To maintain the same ratio of tomatoes to peppers as last year (3:4), we find how many rows of peppers correspond to the 3 rows of tomatoes she plans to plant. Since the tomatoes are already at the base ratio of 3, the number of pepper rows will be the same as the multiplier for the tomatoes: 4. Thus, Kendra will plant 4 rows of peppers this year.