Farah, Kate and Anna have saved some allowance to buy a gift for their father. The ratio of Farah's to Kate's savings is 3 : 4. The ratio of Kate's to Anna's savings is 8 : 9. Farah has saved $48. How much has Anna saved?

To solve this problem, we first need to find out how much Kate has saved.

Step 1: We know that the ratio of Farah's to Kate's savings is 3:4. This means that for every 3 parts that Farah has, Kate has 4 parts.

Step 2: We know that Farah has saved $48. Since$48 represents 3 parts (from the ratio 3:4), we can find out the value of 1 part by dividing $48 by 3. This gives us$16 per part.

Step 3: Now that we know the value of 1 part, we can find out how much Kate has saved. Since Kate has 4 parts (from the ratio 3:4), we multiply 4 parts by $16 per part. This gives us$64.

Step 4: Now we need to find out how much Anna has saved. We know that the ratio of Kate's to Anna's savings is 8:9. This means that for every 8 parts that Kate has, Anna has 9 parts.

Step 5: We know that Kate has saved $64. Since$64 represents 8 parts (from the ratio 8:9), we can find out the value of 1 part by dividing $64 by 8. This gives us$8 per part.

Step 6: Now that we know the value of 1 part, we can find out how much Anna has saved. Since Anna has 9 parts (from the ratio 8:9), we multiply 9 parts by $8 per part. This gives us$72.

So, Anna has saved $72.

To solve this problem, we first need to find out how much Kate has saved.

Step 1: We know that the ratio of Farah's savings to Kate's savings is 3:4. This means that for every 3 parts that Farah has, Kate has 4 parts.

Step 2: We know that Farah has saved $48. Since$48 corresponds to 3 parts in the ratio, we can find out the value of 1 part by dividing $48 by 3. This gives us$16 per part.

Step 3: Now that we know the value of 1 part, we can find out how much Kate has saved. Since Kate has 4 parts according to the ratio, we multiply 4 by $16 to get$64. So, Kate has saved $64.

Step 4: Next, we need to find out how much Anna has saved. We know that the ratio of Kate's savings to Anna's savings is 8:9. This means that for every 8 parts that Kate has, Anna has 9 parts.

Step 5: We know that Kate has saved $64. Since$64 corresponds to 8 parts in the ratio, we can find out the value of 1 part by dividing $64 by 8. This gives us$8 per part.

Step 6: Now that we know the value of 1 part, we can find out how much Anna has saved. Since Anna has 9 parts according to the ratio, we multiply 9 by $8 to get$72. So, Anna has saved $72.