MATH SOLVE

2 months ago

Q:
# Donald is planting two types of saplings in his garden.sapling 1 is4 feet tall and grows at the rate of 16 inches per year. Sapling 2 is 5 feet tall and grows at the rate of 12 inches per year.after how many yeas will these saplings be of the same height?

Accepted Solution

A:

After 3 years these saplings will be of the same heightStep-by-step explanation:Donald is planting two types of saplings in his gardenSapling 1 is 4 feet tall and grows at the rate of 16 inches per yearSapling 2 is 5 feet tall and grows at the rate of 12 inches per yearWe need to find after how many years these saplings will be of thesame heightAssume that they will be of the same height after n years∵ The height of the sapling 1 is 4 feet now∵ It grows at the rate of 16 inches per year- Change the feet to inches∵ 1 foot = 12 inches∴ 4 feet = 4 × 12 = 48 inches∴ The height of the sapling 1 after n years = 48 + 16 n∵ The height of the sapling 2 is 5 feet now∵ It grows at the rate of 12 inches per year- Change the feet to inches∴ 5 feet = 5 × 12 = 60 inches∴ The height of the sapling 2 after n years = 60 + 12 nEquate the two heights∴ 48 + 16 n = 60 + 12 n- Subtract 12 n from both sides∴ 48 + 4 n = 60- Subtract 48 from both sides∴ 4 n = 12- Divide both sides by 4∴ n = 3 yearsAfter 3 years these saplings will be of the same heightLearn more:You can learn more about word problems in brainly.com/question/13174288#LearnwithBrainly