b Two girls aged 12 years and 15 years divide in
the ratio of their ages. How much does each girl
receive?

Question

b Two girls aged 12 years and 15 years divide $$ \$ 72 $$ in the ratio of their ages. How much does each girl receive?

UpStudy AI · Accepted Answer

To divide \$72 between the two girls in the ratio of their ages, follow these steps:

1. **Determine the Ratio:**
   - The ages of the girls are 12 years and 15 years.
   - So, the ratio of their ages is $$ 12 : 15 $$.

2. **Simplify the Ratio:**
   - Both numbers can be divided by 3 to simplify the ratio.
   - $$ 12 \div 3 = 4 $$
   - $$ 15 \div 3 = 5 $$
   - Simplified ratio: $$ 4 : 5 $$

3. **Calculate the Total Number of Parts:**
   - Total parts $$ = 4 + 5 = 9 $$

4. **Determine the Value of Each Part:**
   - Total amount to be divided is \$72.
   - Value of one part $$ = \frac{\$72}{9} = \$8 $$

5. **Calculate Each Girl's Share:**
   - **12-year-old's share:** $$ 4 	ext{ parts} 	imes \$8 = \$32 $$
   - **15-year-old's share:** $$ 5 	ext{ parts} 	imes \$8 = \$40 $$

**Final Distribution:**
- The 12-year-old girl receives **\$32**.
- The 15-year-old girl receives **\$40**.
The 12-year-old girl receives \$32 and the 15-year-old girl receives \$40.

b Two girls aged 12 years and 15 years divide in
the ratio of their ages. How much does each girl
receive?

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Arithmetic Questions

b Two girls aged 12 years and 15 years divide in the ratio of their ages. How much does each girl receive?

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Arithmetic Questions

b Two girls aged 12 years and 15 years divide in
the ratio of their ages. How much does each girl
receive?