After 3 years these saplings will be of the same height
Step-by-step explanation:
Donald is planting two types of saplings in his garden
- Sapling 1 is 4 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
We need to find after how many years these saplings will be of the
same height
Assume 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 n
Equate 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 years
After 3 years these saplings will be of the same height
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