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Last month, Margo bought a tree that grows 
2.5cm each day. It was 
5cm tall when she bought it and now it is 
65cm tall. How many days has Margo owned the plant?

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Last month, Margo bought a tree that grows 2.5 cm 2.5 \mathrm{~cm} each day. It was 5 cm 5 \mathrm{~cm} tall when she bought it and now it is 65 cm 65 \mathrm{~cm} tall. How many days has Margo owned the plant?\newline \square

Full solution

Q. Last month, Margo bought a tree that grows 2.5 cm 2.5 \mathrm{~cm} each day. It was 5 cm 5 \mathrm{~cm} tall when she bought it and now it is 65 cm 65 \mathrm{~cm} tall. How many days has Margo owned the plant?\newline \square
  1. Calculate Total Growth: First, we need to determine the total growth of the tree since Margo bought it.\newlineCurrent height of the tree: 65cm65\,\text{cm}\newlineInitial height when bought: 5cm5\,\text{cm}\newlineTotal growth since purchase: Current height - Initial height\newlineTotal growth = 65cm5cm65\,\text{cm} - 5\,\text{cm}
  2. Find Number of Days: Now, let's calculate the total growth.\newlineTotal growth = 65cm5cm=60cm65\,\text{cm} - 5\,\text{cm} = 60\,\text{cm}
  3. Perform Division: Next, we need to find out how many days it took for the tree to grow 60cm60\,\text{cm}.\newlineGrowth per day: 2.5cm2.5\,\text{cm}\newlineTotal growth: 60cm60\,\text{cm}\newlineNumber of days =Total growthGrowth per day= \frac{\text{Total growth}}{\text{Growth per day}}\newlineNumber of days =60cm2.5cm/day= \frac{60\,\text{cm}}{2.5\,\text{cm/day}}
  4. Perform Division: Next, we need to find out how many days it took for the tree to grow 60cm60\,\text{cm}.\newlineGrowth per day: 2.5cm2.5\,\text{cm}\newlineTotal growth: 60cm60\,\text{cm}\newlineNumber of days =Total growthGrowth per day= \frac{\text{Total growth}}{\text{Growth per day}}\newlineNumber of days =60cm2.5cm/day= \frac{60\,\text{cm}}{2.5\,\text{cm/day}}Let's perform the division to find the number of days.\newlineNumber of days =60cm2.5cm/day=24days= \frac{60\,\text{cm}}{2.5\,\text{cm/day}} = 24\,\text{days}

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