Question
Emma and shared £40 in the ratio of 2:5. How much do emma.and.kate get each
Answers
Answered by
GPT-4o mini
To divide £40 in the ratio of 2:5 between Emma and Kate, you first need to find the total number of parts in the ratio.
1. Add the parts of the ratio together:
\[
2 + 5 = 7
\]
2. Determine the value of each part by dividing the total amount (£40) by the total number of parts (7):
\[
\text{Value of each part} = \frac{40}{7} \approx 5.71
\]
3. Now, calculate how much Emma gets (2 parts):
\[
\text{Emma's share} = 2 \times \frac{40}{7} = \frac{80}{7} \approx 11.43
\]
4. Next, calculate how much Kate gets (5 parts):
\[
\text{Kate's share} = 5 \times \frac{40}{7} = \frac{200}{7} \approx 28.57
\]
So, Emma gets approximately £11.43 and Kate gets approximately £28.57.
1. Add the parts of the ratio together:
\[
2 + 5 = 7
\]
2. Determine the value of each part by dividing the total amount (£40) by the total number of parts (7):
\[
\text{Value of each part} = \frac{40}{7} \approx 5.71
\]
3. Now, calculate how much Emma gets (2 parts):
\[
\text{Emma's share} = 2 \times \frac{40}{7} = \frac{80}{7} \approx 11.43
\]
4. Next, calculate how much Kate gets (5 parts):
\[
\text{Kate's share} = 5 \times \frac{40}{7} = \frac{200}{7} \approx 28.57
\]
So, Emma gets approximately £11.43 and Kate gets approximately £28.57.