Last Sunday, the ratio of the number of lorries to the number of cars to the number of motorcycles on the road was 11 : 5 : 20. On Monday, the number of lorries on the road remained the same. However, the number of cars increased by 50% and the number of motorcycles decreased by 10%. Find the ratio of the number of cars to the number of lorries to the number of motorcycles on the road on Monday. Express your answer in its simplest form. Ans: ___

Work through it with AI →

It won't just hand you the answer — it asks where you're stuck.How the checker works

Worked solution

2

1. Identify the initial units for each vehicle type.

Let the initial number of lorries, cars, and motorcycles be 11u11u, 5u5u, and 20u20u respectively.

2. Calculate the new number of units for cars.

New number of cars = 5u×(1+0.50)=5u×1.5=7.5u5u \times (1 + 0.50) = 5u \times 1.5 = 7.5u

3. Calculate the new number of units for motorcycles.

New number of motorcycles = 20u×(1−0.10)=20u×0.9=18u20u \times (1 - 0.10) = 20u \times 0.9 = 18u

4. Form the new ratio and simplify it.

New ratio of cars : lorries : motorcycles = 7.5u:11u:18u7.5u : 11u : 18u
Multiply by 2 to remove the decimal:
15:22:3615 : 22 : 36

Answer

15:22:3615 : 22 : 36

AI analysis — may contain mistakes.

Worked this one out on paper? Snap your steps and Gigle's AI math checker will circle the step where it went wrong.

More questions on this topic

  1. 1In a camp, the number of children is 38\frac{3}{8} of the number of adults. 29\frac{2}{9} of the children are boys and t…
  2. 2Mrs Raj baked some muffins. 14\frac{1}{4} of them were blueberry muffins, 25\frac{2}{5} of them were chocolate muffins a…
  3. 3Thomas and Siti had cookies in the ratio 3 : 7. After Thomas bought another 42 cookies and Siti ate 18 cookies of her ow…
  4. 4There were a total of 2120 students at the school parade square at first. After 536 boys and 14\frac{1}{4} of the girls…
  5. 5把20克糖放入200克水中,糖与糖水的质量比是多少?