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CHAPTER
4
Ratio
Solve. Show your work.
1. Joel made egg sandwiches and tuna sandwiches in the ratio 2 : 3. He then
made 15 more tuna sandwiches and the ratio changed to 1 : 3. How many
sandwiches did Joel make in all?
2. The ratio of the number of cars to the number of vans in a parking lot
was 5 : 2. After _ of the cars left, there were 16 more cars than vans in the
1
3
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parking lot. How many vans were in the parking lot?
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3. The ratio of the amount of almonds in Bag A to the amount of almonds in
Bag B was 8 : 5. After 12 ounces of almonds were transferred from Bag A to
Bag B, the amount of almonds in both bags became the same. How many
ounces of almonds were originally in Bag B?
© Marshall Cavendish International (Singapore) Private Limited.
4. The ratio of the number of apples to the number of pears in a basket
was 3 : 5. After 7 more apples were added to the basket and 9 pears were
removed, there were an equal number of apples and pears. How many
apples and how many pears were originally in the basket?
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5. There were 100 children at a festival. After 36 of the boys left the festival
and another 21 girls joined the festival, the ratio of the number of boys
to the number of girls became 8 : 9. How many more boys than girls were
originally at the festival?
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6. Kylie and Chen have 69 stickers. Kylie and Olivia have 95 stickers. The ratio of
the number of stickers Olivia has to the number of stickers Chen has is 5 : 3.
How many stickers does Kylie have?
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7. Ali and Steve arrived at the shopping mall with the same amount of money.
After Ali spent $43 and Steve spent $16, the ratio of Ali’s money to Steve’s
money became 2 : 5. How much money did each boy have when they
arrived at the shopping mall?
8. There are 648 cows and sheep on a farm. The ratio of the number of cows
to the number of sheep is 5 : 4. At an auction, _ of the sheep and some
2
3
cows are sold. The ratio of the number of cows to the number of sheep left
© Marshall Cavendish International (Singapore) Private Limited.
is now 3 : 1. How many cows are sold?
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9. The Toy Factory produces a total of 2,400 toy cars and toy trains in the
ratio 3 : 2. During the month of December, the demand for toy cars is so
great that the factory increases production. The ratio of toy cars to toy
trains production then becomes 11 : 6. How many more toy cars does the
factory produce in December?
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10. A florist buys some tulips and daffodils in the ratio 3 : 7. The florist then
buys another 45 tulips and the ratio becomes 3 : 4. After that, 50 daffodils
are sold. What is the new ratio of the number of tulips to the number
of daffodils?
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11.
The figure below is made up of two overlapping shapes, a triangle and a
square. The ratio of the area of the triangle to the area of the square is 5 : 2.
The ratio of the unshaded part of the triangle to the unshaded part of the
square is 5 : 1. Find the area of the shaded part if the length of each side of
the square is 4 inches.
12.
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A paint supplier mixes three colors of paint, A, B, and C, in the ratio 3 : 5 : 7.
Color A costs $8 per quart, Color B costs $12 per quart, and Color C costs
$15 per quart. Calculate the cost per quart of the paint mixture.
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