Final answer:
The question involves a ratio represented by a tape diagram and the calculation of individual allowances from a total amount. By adding the parts of the ratio together and dividing the total amount by the sum of the ratio parts, each individual allowance can be calculated.
Step-by-step explanation:
The student is asking about determining individual allowances based on a total combined amount and a given ratio. We see a tape diagram that shows 'You:' with eight hash marks and 'Friend:' with six hash marks. The tape diagram represents the ratio of 8:6 (which reduces to 4:3) between your allowance and your friend's allowance. The total monthly allowance is $48. To find how much each allowance is, one could follow these steps:
- First, add the ratio parts together: 4 + 3 = 7 parts in total.
- Divide the total combined allowance by the number of parts: $48 / 7 = ~$6.86 per part.
- Multiply the value per part by the number of parts for 'You': $6.86 * 4 = ~$27.44 for your monthly allowance.
- Then multiply the value per part by the number of parts for your friend: $6.86 * 3 = ~$20.58 for your friend's monthly allowance.
Therefore, your monthly allowance is approximately $27.44, and your friend's monthly allowance is approximately $20.58.