Question

Bob buys 40 plants for £72. one fifth of the plants have to be thrown away immediately due to them being in a poor state. bob splits the remaining plants into large plants and small plants. the ratio of large plants to small plants is 1:3. he sells the large plants for £5 and the small plants for £2.50. how many of each size plant does bob have to sell?

Answer 1

After discarding one fifth of the plants, Bob is left with 32 plants. The plants are split into a 1:3 ratio of large to small plants, so Bob has 8 large plants and 24 small plants to sell.

Step-by-step explanation:

To find the number of large and small plants that Bob has to sell, we need to follow a step-by-step approach:

1. Bob initially buys 40 plants for £72.
2. One fifth of the plants must be thrown away, so we subtract 1/5 (or 20%) of 40, which is 8. This leaves us with 32 plants.
3. The ratio of large plants to small plants is 1:3, which means that for every large plant, there are 3 small plants.
4. To find the number of large plants, we divide the total number of plants (32) by the sum of the ratios in the ratio, which is 1 + 3 = 4. So, the number of large plants is 32 / 4 = 8.
5. Similarly, to find the number of small plants, we multiply the number of large plants by the ratio of small plants to large plants, which is 3. So, the number of small plants is 8 × 3 = 24.

Therefore, Bob has to sell 8 large plants and 24 small plants.