U3L1 Class Problems:
Standard
Kickapoo College has 1400 students, of which 600 are men. Write each ratio:
a.
b.
c.
d.
Men to women – 600:800 or 3:4
Men to all students – 600:1400 or 3:7
Women to men – 800:600 or 4:3
Women to all students – 800:1400 or 4:7
The ratio of length to width of a rectangle is 5:3. If its length is 35 cm, find:
a) Its width. 21 cm
b) Its area. 735 cm2
In a class of students, the ratio of boys to girls is 4:5. What fraction of the class is boys?
4/9
24 cans of baked beans were to be divided between 2 camping groups in the ratio of 7:5. How many
cans did each group get?
14 and 10
Advanced
The ratio of the number of cars to the number of bicycles is 10:7. Each car has 4 wheels and each
bicycle has 2 wheels. If all the cars and bicycles have a total of 486 wheels, how many wheels do all the
cars have altogether?
486/54 = 9; there are 90 cars and 63 bicycles
The ratio of the number of Roger’s marbles to the number of Calvin’s marbles was 3:8. After Roger
bought another 12 marbles and Calvin gave away 28 marbles, they each had the same number of
marbles. How many marbles did they have together at first?
3x+12 = 8x-28
Roger had 24 and Calvin had 64, so they had 88 altogether at first
If a:b is 8:7 and b:c is 6:5, then what is a:b:c?
48:42:35
Highly Advanced
The ratio of Sally’s age to Lucy’s age is 8:5. Thirty years later, this ratio will be 6:5. How much older is
Sally than Lucy now?
Sally is 24, Lucy is 15, so Sally is 9 years older