Share 90 sweets in the following ratio \( 5: 3: 7 \)

To share 90 sweets in the ratio \( 5: 3: 7 \), first, add up the parts of the ratio: \( 5 + 3 + 7 = 15 \) parts. Now, divide the total number of sweets (90) by the total parts (15) to find the value of one part: \[ \text{One part} = \frac{90}{15} = 6. \] Now, multiply the number of parts for each person by the value of one part: - For the first part (5): \( 5 \times 6 = 30 \) sweets. - For the second part (3): \( 3 \times 6 = 18 \) sweets. - For the third part (7): \( 7 \times 6 = 42 \) sweets. So, the distribution is: - First person: 30 sweets - Second person: 18 sweets - Third person: 42 sweets