Solving Word Problems with Equations

This video tutorial by Mr. Holcomb covers solving word problems using linear systems. It includes examples such as finding two numbers, determining the number of students in a school, calculating the number of bills in a wallet, and determining the costs of pencils and notebooks. The video also includes exercises on counting animals and calculating rectangle dimensions.

If the sum of two numbers is 361 and their difference is 173, what are the two numbers?

• 250 and 111

• 300 and 61

• 200 and 161

• 267 and 94

In a school with 356 students, 34 more than four times the number of girls equals half the number of boys. How many girls are there?

• 75

• 100

• 50

• 32

A wallet contains $5 and $1 bills totaling 18 bills and $62. How many $5 bills are there?

• 11

• 7

• 5

• 13

If a friend buys two boxes of pencils and eight notebooks for $11, and later buys three boxes of pencils and five notebooks for $11.25, what is the cost of one notebook?

• $0.50

• $1.00

• $1.25

• $0.75

How much would 7 notebooks cost if each notebook is priced at $0.75?

• $7.00

• $6.00

• $5.25

• $4.50

A farm has 42 animals consisting of cows and chickens. If the total number of legs is 114, how many cows are there?

• 25

• 10

• 20

• 15

The length of a rectangle is four times its width, and the perimeter is 45 inches. What is the width of the rectangle?

• 5 inches

• 4.5 inches

• 3.5 inches

• 6 inches

If the sum of angles X and Y is 127 degrees, and angle X is 34 more than half of angle Y, what is the measure of angle X?

• 65 degrees

• 70 degrees

• 60 degrees

• 75 degrees

In a rectangle, if the length is four times the width and the perimeter is 45 inches, what is the area of the rectangle?

• 90 square inches

• 72 square inches

• 81 square inches

• 60 square inches

If a farmer has 15 cows and 27 chickens, how many legs do all the animals have in total?

• 100

• 130

• 114

• 120