Ratios Word Problems
Ratio problems deal with how quantities relate to each other — the number of boys to girls in a class, the proportion of ingredients in a recipe, or the scale of a map to actual distance. The core skill is setting up and solving proportions, but the real challenge is recognizing when a problem is a proportion problem in disguise. If a recipe serves 4 and you need to serve 7, every ingredient needs to scale by 7/4 — and you need to handle that cleanly even when fractions get messy. These problems also teach unit conversion, which is one of the most practical math skills you'll use in cooking, construction, travel, and science.Solve basketball shooting ratio problems. Find three-point attempts given makes and ratio. Proportional reasoning practice.
Janice has 2/3 lb popcorn, fills 1/6 lb bags for 3 siblings. Find total used, remainder, and whether enough for herself.
Solve an inverse proportion: rations last fewer days when more people join. Use rate tables or equations.
Given a linear equation y = 1.25x, solve for the age of a tree at a specific height. Inverse operations.
School trip ratio problem: teachers to students 1:15, male to female 7:5. Find % of female students. Complete solution.
Two enrollment scenarios with different ratios. Set up and solve a system of two equations with two unknowns.
Teachers:Students = 1:11, Female:Total = 4:9. If 396 female students, find number of teachers using chained ratios.