Exploring Basic Ratio Word Problems

The video tutorial covers solving word problems using ratios. It includes three examples: calculating the length of a shorter board piece given the ratio and length of the longer piece, determining the total number of students based on the ratio of boys to girls, and finding the total pages read by Theresa over two days using a given ratio. Each problem is broken down step-by-step, demonstrating how to use ratios to find unknown quantities.

If a board is cut into two pieces with lengths in the ratio 2:5, and the longest piece is 85 inches, what is the length of the shortest piece?

• 50 inches

• 40 inches

• 34 inches

• 60 inches

In the first example, how many units does the longest piece have?

• 5 units

• 7 units

• 2 units

• 3 units

What is the value of each unit if the longest piece is 85 inches and it consists of 5 units?

• 25

• 15

• 20

• 17

In a track meet, if 5/8 of the students are boys and there are 48 more boys than girls, how many students are there in total?

• 192

• 160

• 180

• 150

In the second example, how many units represent the extra boys?

• 4 units

• 3 units

• 2 units

• 1 unit

If each unit represents 24 students, how many units are there in total in the second example?

• 9 units

• 6 units

• 7 units

• 8 units

Theresa read two and a quarter times as many pages on Saturday as on Sunday. If she read 120 more pages on Saturday, how many pages did she read in total?

• 300 pages

• 312 pages

• 320 pages

• 330 pages

In the third example, how many units represent the extra pages read on Saturday?

• 4 units

• 3 units

• 5 units

• 6 units

If each unit represents 24 pages, how many units did Theresa read in total?

• 10 units

• 11 units

• 12 units

• 13 units

What is the ratio of pages read by Theresa on Saturday to Sunday?

• 2:1

• 2.25:1

• 3:1

• 2.5:1