TEKS 6.4B Worksheets — Grade 6 Apply qualitative and quantitative reasoning to solve

Aisha is planning a party and wants to order pizza. Each pizza costs $12 and she expects to serve 24 people. If she wants each person to have 2 slices of pizza and each pizza has 8 slices, what is the minimum number of pizzas Aisha should order?

1. 4
2. 6 ✓
3. 3
4. 5

Why: To find out how many pizzas Aisha needs, first calculate the total number of slices required: 24 people × 2 slices each = 48 slices. Each pizza has 8 slices, so divide the total slices by the number of slices in one pizza: 48 slices ÷ 8 slices/pizza = 6 pizzas. Therefore, Aisha should order at least 6 pizzas.

Valentina is organizing a school fundraiser in San Antonio to support local wildlife conservation. She is selling tickets for a raffle at $15 each. If her goal is to raise $600 for the cause, which of the following represents the number of tickets she needs to sell to meet her fundraising goal?

1. 30
2. 40 ✓
3. 50
4. 60

Why: To find out how many tickets Valentina needs to sell, divide her fundraising goal of $600 by the price of each ticket, which is $15. Therefore, 600 ÷ 15 = 40. This means she needs to sell 40 tickets to reach her goal.

Amari is organizing a school fundraiser in Houston to support local wildlife preservation. She decided to sell two types of homemade cookies: chocolate chip and oatmeal raisin. For every 5 chocolate chip cookies she bakes, she bakes 3 oatmeal raisin cookies. If she plans to bake a total of 32 cookies, how many chocolate chip cookies will she bake?

1. 20 ✓
2. 15
3. 12
4. 8

Why: To solve this, we first need to determine how many sets of 8 cookies (5 chocolate chip + 3 oatmeal raisin) Amari can make with 32 cookies. Each set of 8 consists of 5 chocolate chip cookies. We divide 32 by 8 to find how many sets she can make: 32 / 8 = 4 sets. Since each set contains 5 chocolate chip cookies, we multiply: 4 sets × 5 chocolate chip cookies/set = 20 chocolate chip cookies. Thus, the correct answer is 20.

Evelyn is conducting a science project about the population of different fish species in the Gulf Coast. She collected data from three local areas on the number of fish caught over a week. The table below shows the number of fish caught in each area. | Area | Number of Fish Caught | |---------------|-----------------------| | Galveston | 120 | | Corpus Christi | 90 | | Brownsville | 30 | Evelyn wants to compare the ratios of fish caught in Galveston to those caught in Brownsville. What is the simplified ratio of the number of fish caught in Galveston to the number caught in Brownsville?

1. 4:1 ✓
2. 3:1
3. 2:1
4. 5:3

Why: To find the ratio of fish caught in Galveston to those caught in Brownsville, we take the number of fish caught in Galveston (120) and divide it by the number of fish caught in Brownsville (30). This gives us the ratio 120 / 30, which simplifies to 4:1. Therefore, the correct answer is 4:1.

Nia is organizing a bake sale to raise money for her school. She plans to make cookies and brownies. For every 3 cookies she bakes, she makes 2 brownies. If Nia bakes 18 cookies, how many brownies does she make?

1. 12 ✓
2. 9
3. 6
4. 15

Why: To find out how many brownies Nia makes, we first determine the ratio of cookies to brownies, which is 3:2. For every 3 cookies, there are 2 brownies. If Nia makes 18 cookies, we find how many sets of 3 are in 18 by dividing 18 by 3, which gives us 6 sets. Since each set corresponds to 2 brownies, we multiply 6 sets by 2 brownies per set: 6 * 2 = 12. Therefore, Nia makes 12 brownies.

Juan has two types of tickets for the Houston Livestock Show and Rodeo. The first type costs $12.50 each and the second type costs $18.75 each. If he buys 2 tickets of the first type and y tickets of the second type, and the total cost is $75, which of the following equations can be used to find the number of second type tickets Juan can buy?

1. 2 * 12.50 + y * 18.75 = 75 ✓
2. 2 + y = 75
3. 12.50 + 18.75y = 75
4. 2 * 18.75 + y * 12.50 = 75

Why: The correct equation to determine how many second type tickets Juan can buy is 2 * 12.50 + y * 18.75 = 75. This is because the total cost Juan spends consists of the cost of the two first type tickets and the cost of y second type tickets, which together equal $75.

Mateo is raising money for a school trip by selling handmade bracelets. He sells each bracelet for $8. If Mateo wants to raise at least $48 for the trip, how many bracelets does he need to sell?

1. 6 ✓
2. 5
3. 4
4. 7

Why: To find out how many bracelets Mateo needs to sell to raise at least $48, we divide the total amount he wants to raise by the price of each bracelet. So, $48 ÷ $8 = 6. Therefore, Mateo needs to sell at least 6 bracelets to meet his goal.

Amelia is organizing a school event to raise awareness about the Piney Woods environment in Lufkin, Texas. She plans to create a poster that showcases the ratio of pine trees to other types of trees in a local forest. In the forest, there are 60 pine trees and 40 oak trees. If Amelia wants to scale the ratio of pine trees to total trees for her poster, what is the simplified ratio of pine trees to total trees expressed in simplest form?

1. 3/5 ✓
2. 2/3
3. 1/2
4. 3/4

Why: To find the ratio of pine trees to total trees, first calculate the total number of trees: 60 (pine) + 40 (oak) = 100 (total trees). The ratio of pine trees to total trees is 60/100. To simplify this ratio, divide both the numerator and the denominator by their greatest common divisor, which is 20. Thus, 60 ÷ 20 = 3 and 100 ÷ 20 = 5. Therefore, the simplified ratio is 3/5.