Final answer:
To find the amount of sugar needed for 8kg of fruit based on a 2:3 fruit to sugar ratio, set up a proportion and solve for x, resulting in 12kg of sugar required.
Step-by-step explanation:
The question is asking to determine the amount of sugar needed if mixing fruit and sugar in the ratio of 2:3 when 8kg of fruit is used. To solve this, we can set up a proportion because the ratio 2:3 tells us that for every 2 parts of fruit, we need 3 parts of sugar.
Let's denote the weight of sugar as 'x' kg. We can represent the scenario as 2/3 = 8/x. To compute x, we cross-multiply: 2x = 3 × 8, which simplifies to 2x = 24. Dividing both sides by 2 yields x = 12. Therefore, if 8kg of fruit is used, you need 12kg of sugar.