Tamara has a box of fruit. There are 2 strawberries for every 3 cherries in the box. If there are 12 cherries in the box how many strawberries are there?

This question concerns ratios and requires proportional calculations. The number of strawberries Tamara has for every cherry can be expressed in the form of a ratio. If there are 2 strawberries for every 3 cherries in the box, we can write the ratio as 2:3.First, consider the '2 strawberries to 3 cherries' ratio:This states that for every 2 strawberries, there would be 3 cherries. We have "strawberries:cherries = 2:3".The problem gives us that Tamara has 12 cherries now, and we want to find out how many strawberries she has in that case.Let's call the number of strawberries "S".Keeping the ratio consistent, for every 3 cherries, we expect 2 strawberries. Since she has 4 times the base ratio of cherries (4 * 3 cherries = 12 cherries), the corresponding number of strawberries has also to increase by a factor of 4.To show this mathematically; .To solve for S, we can essentially multiply the two denominators (12 and 3) with the opposing numerator (3 and 2 respectively); So, knowing that the base ratio is preserved, Tamara should have 8 strawberries if she has 12 cherries. So she has **8** strawberries in her box.