CHAPTER 4 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 _ 1 of the cars left, there were 16 more cars than vans in the 3 parking lot. How many vans were in the parking lot? 18 Chapter 4
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? 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? Enrichment Course 1 19
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? 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? 20 Chapter 4
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, _ 2 of the sheep and some 3 cows are sold. The ratio of the number of cows to the number of sheep left is now 3 : 1. How many cows are sold? Enrichment Course 1 21
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? 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? 22 Chapter 4
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. 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. Enrichment Course 1 23