Question

In a box, there are only green sweets, orange sweets and yellow sweets. There are 280 sweets in the box so that the number of green sweets:the number of orange sweets = 2:3 and the number of orange sweets:the number of yellow sweets = 1:5. Work out how many green sweets there are in the box?

Answer 1

By setting up and solving equations based on the ratios provided, we determine that there are 28 green sweets in the box.

Step-by-step explanation:

To determine how many green sweets are in the box, we'll have to use the ratios provided. First, we're given that the ratio of green sweets to orange sweets is 2:3, and that the ratio of orange sweets to yellow sweets is 1:5. These
ratios can be represented as G:O = 2:3 and O:Y = 1:5.

Let's assume that there are 2x green sweets and 3x orange sweets. Since there are five times as many yellow sweets as orange sweets, we can express it as 15x yellow sweets. The total number of sweets is
given as 280, which means that 2x + 3x + 15x = 280. Simplifying, we get 20x = 280. So, x = 14.

Now that we have the value of x, we can calculate the number of green sweets: 2x = 2(14) = 28. Therefore, there are 28 green sweets in the box.