Geraldine is buying plants from the local garden centre. Each plant costs the same. She buys 15 plants which cost 42 pounds 45 pence in total. The following year, Geraldine goes back to the garden centre to buy more plants. The garden centre has changed their prices such that the cost of each plant is now 28 pence lower than the previous year. Geraldine has 35 pound to spend on plants. What is the maximum number of plants Geraldine can buy?
The first bit of information we are told is that Geraldine buys 15 plants for 42 pounds and 45 pence. We’re told that each plant costs the same. Therefore, the cost of each plant will be 42.45 divided by 15. We divide the total cost by the number of plants. This is equal to 2.83 This means that the original cost per plant was two pounds and 83 pence. Weare told that, in the following year, the cost of each plant was 28 pence lower. This means that we need to subtract 0.28 from 2.83. This equals 2.55. The new cost per plant is two pounds and 55 pence.
Geraldine had 35 pounds to spend on plants. As each of them now cost two pound 55, we need to divide 35 by 2.55. This is equal to 13.725 and so on. As we can’t buy part of a plant, we need to round down. Geraldine does not have enough money for 14 plants. This means that the maximum number of plants that she can buy with 35 pound is 13 plants. This would cost her 33 pounds and 15 pence as 13 multiplied by 2.55 is 33.15.