Final answer:
To find the cost of 4 5/7 kg of candy, we divide the cost of 5/6 kg by 5/6 to find the cost of 1 kg. Then, we multiply the cost of 1 kg by 4 5/7 to find the total cost.
Step-by-step explanation:
To find the cost of 4 5/7 kg of candy, we need to find the cost of 1 kg of candy and then multiply it by 4 5/7. Given that 5/6 kg of candy costs $7.50, we can find the cost of 1 kg by dividing $7.50 by 5/6. So, the cost of 1 kg of candy is $9.00. To find the cost of 4 5/7 kg, we multiply $9.00 by 4 5/7.
To multiply a whole number and a fraction, we first convert the whole number to a fraction by placing it over 1. So, 4 can be written as 4/1. Then, we multiply the numerators (4 x 7 + 5) and the denominators (1 x 7). This gives us 33/7. Finally, we multiply $9.00 by 33/7 to find the cost of 4 5/7 kg of candy.
The cost of 4 5/7 kg of candy is $38.57.