TEKS 7.4D Worksheets — Grade 7 Solve problems involving ratios, rates, and percents

Nia wants to buy a new backpack for school. The backpack costs $25.00, but there is a 10% discount available. How much will Nia pay after the discount is applied?

1. $22.50 ✓
2. $20.00
3. $27.50
4. $15.00

Why: To find the amount Nia will pay after the discount, first calculate the discount amount by multiplying the full price by the discount rate: $25.00 * 0.10 = $2.50. Then, subtract the discount from the original price: $25.00 - $2.50 = $22.50. Therefore, Nia will pay $22.50 after the discount.

Hector is planting a garden in East Texas, and he wants to plant pecan trees and yucca plants in a ratio of 3 to 5. If he plans to plant a total of 64 plants, how many pecan trees will he plant?

1. 24 ✓
2. 30
3. 36
4. 40

Why: To find the number of pecan trees Hector will plant, first, we need to determine how many parts the ratio consists of. The ratio 3:5 has a total of 3 + 5 = 8 parts. Each part represents 64 / 8 = 8 plants. Since there are 3 parts for pecan trees, Hector will plant 3 * 8 = 24 pecan trees.

Nia is making fruit baskets for a school fundraiser. Each basket requires 3 apples and 2 oranges. If Nia has 12 apples and 8 oranges, what is the maximum number of complete fruit baskets she can make?

1. 2
2. 3
3. 4 ✓
4. 5

Why: To find the maximum number of complete fruit baskets Nia can make, we need to determine how many apples and oranges she has in relation to the requirements for one basket. Each basket requires 3 apples. With 12 apples, Nia can make 12 / 3 = 4 baskets. Each basket also requires 2 oranges. With 8 oranges, Nia can make 8 / 2 = 4 baskets. Since both fruits allow for 4 baskets, the maximum number of complete baskets Nia can make is 4.

Aurora is organizing a community event in Austin, Texas, where she plans to hand out bluebonnet seeds to encourage local gardening. If she has a total of 120 packets of bluebonnet seeds and decides to give away 25% of them at the event, how many packets will she have left after the event?

1. 90 ✓
2. 75
3. 30
4. 95

Why: To find out how many packets Aurora will have left after giving away 25%, we first need to calculate 25% of 120 packets. 25% of 120 is calculated as follows: 120 * 0.25 = 30. This means she gives away 30 packets. To find out how many packets she has left, we subtract the number of packets given away from the total: 120 - 30 = 90. Therefore, Aurora will have 90 packets left after the event.

Lila is conducting a survey at her school about favorite sports. She collected the following data from 20 students: 5 preferred soccer, 8 preferred basketball, 4 preferred tennis, and 3 preferred baseball. What percentage of students preferred basketball?

1. 40% ✓
2. 25%
3. 15%
4. 20%

Why: To find the percentage of students who preferred basketball, first determine how many students liked basketball, which is 8. Then, divide the number of basketball fans by the total number of students surveyed: 8 / 20 = 0.4. To convert this to a percentage, multiply by 100: 0.4 * 100 = 40%. Therefore, 40% of students preferred basketball.

Diego is planning a school trip from Austin to Galveston. The total cost for transportation is $360. If the school has a budget for transportation that allows for a 15% discount for early bookings, how much will they save on the total cost if they book early?

1. 54 ✓
2. 45
3. 60
4. 63

Why: To find the amount saved by booking early, first calculate 15% of the total cost, which is $360. This is done by multiplying $360 by 0.15: 360 × 0.15 = 54. Therefore, the school will save $54 if they book early.

Zoe is baking cookies for a school bake sale. She has a recipe that requires 2 cups of flour to make 24 cookies. If Zoe wants to make 48 cookies, how many cups of flour will she need?

1. 4 ✓
2. 3
3. 2
4. 1

Why: To find out how much flour Zoe needs to make 48 cookies, we can set up a ratio. Since 2 cups of flour make 24 cookies, we can double the amount of flour to make twice the number of cookies. So, 2 cups × 2 = 4 cups of flour. Therefore, Zoe will need 4 cups of flour to make 48 cookies.

Madison is helping her family set up for a picnic in the Texas Hill Country. They plan to make a large batch of chili using 3/4 of a pound of ground beef for every 5 servings. If Madison wants to prepare enough chili for 25 people, how many pounds of ground beef will she need? Calculate the total amount needed and select the closest answer.

1. 3.75 ✓
2. 1.5
3. 4.5
4. 2.25

Why: To find out how many pounds of ground beef Madison needs, first determine how many groups of 5 servings are in 25 people. 25 ÷ 5 = 5 groups. Since each group requires 3/4 of a pound of ground beef, multiply 5 groups by 3/4 pound: 5 * (3/4) = 15/4 = 3.75 pounds. Thus, Madison needs 3.75 pounds of ground beef for the chili.