TEKS 7.6A Worksheets — Grade 7 Represent sample spaces for simple and compound

Eleanor is preparing for a barbecue party in Texas and plans to serve brisket sandwiches. She estimates that each guest will eat about 3/4 of a sandwich. If she expects 10 guests, how many whole sandwiches should she prepare to ensure everyone has enough to eat?

1. 8 ✓
2. 7
3. 6
4. 9

Why: To find out how many whole sandwiches Eleanor needs to prepare, we first calculate the total amount of sandwiches required. Since each guest will eat 3/4 of a sandwich, for 10 guests, the total is 10 * (3/4) = 30/4 = 7.5 sandwiches. Since Eleanor cannot prepare half a sandwich, we round up to the nearest whole number, which is 8. Therefore, she should prepare 8 whole sandwiches.

Paola is organizing a picnic at Galveston Bay and wants to create different sandwich combinations for her friends. She has 3 types of bread (white, whole wheat, and sourdough) and 4 different fillings (turkey, ham, cheese, and vegetables). How many different sandwich combinations can Paola create by choosing one type of bread and one filling?

1. 12 ✓
2. 10
3. 7
4. 15

Why: To find the total number of sandwich combinations, multiply the number of types of bread by the number of fillings. There are 3 types of bread and 4 types of fillings. So, the total combinations is 3 * 4 = 12. Therefore, the correct answer is 12.

Isabella is planning a picnic in Fredericksburg and is choosing her meal options. She can select 1 main dish from 4 options: chicken salad, pulled pork, veggie wrap, or brisket. She can also choose 2 different desserts from a selection of 3 options: peach cobbler, chocolate cake, or pecan pie. How many different meal combinations can Isabella create for her picnic?

1. 12 ✓
2. 6
3. 8
4. 9

Why: To find the total number of meal combinations, first calculate the number of ways to choose 1 main dish from 4 options, which is 4. Then, since Isabella needs to choose 2 different desserts from 3 options, we can use combinations. The number of ways to select 2 desserts from 3 is given by 3 choose 2, which equals 3. Therefore, the total number of meal combinations is 4 (main dishes) multiplied by 3 (dessert combinations), resulting in 4 * 3 = 12 different meal combinations.

During a high school football fundraiser in Houston, Esteban is selling two types of snacks: tacos and nachos. He sells tacos for $2.50 each and nachos for $3.00 each. If Esteban sells a total of 20 snacks and earns $52.50, how many tacos did he sell?

1. 15 ✓
2. 10
3. 5
4. 8

Why: Let the number of tacos sold be x and the number of nachos sold be y. We know that x + y = 20 and 2.5x + 3y = 52.5. Substituting y = 20 - x into the second equation gives us 2.5x + 3(20 - x) = 52.5. Simplifying this leads to 2.5x + 60 - 3x = 52.5, which simplifies to -0.5x + 60 = 52.5. Solving for x, we find x = 15. Therefore, Esteban sold 15 tacos.

Adriana is at the Texas State Fair, where she is participating in a drawing to win a food gift basket. There are 60 total tickets in the drawing. If Adriana bought 12 tickets, what is the probability that she will win the gift basket? Express your answer as a simplified fraction.

1. 1/5 ✓
2. 1/4
3. 1/6
4. 2/5

Why: To find the probability that Adriana will win the gift basket, we use the formula for probability, which is the number of favorable outcomes divided by the total number of outcomes. The number of tickets Adriana bought is 12, and the total number of tickets is 60. Thus, the probability is 12 / 60, which simplifies to 1 / 5. Therefore, the correct answer is 1/5.

Cristian is organizing a picnic at Zilker Park in Austin, Texas. He planned to invite 12 friends and decided to provide sandwiches and drinks. For each sandwich, he will prepare 2/3 of a loaf of bread, and for each drink, he will use 1/4 of a gallon of juice. How many loaves of bread and gallons of juice will Cristian need for all his friends if he prepares 1 sandwich and 1 drink per person?

1. 8 loaves of bread and 3 gallons of juice ✓
2. 9 loaves of bread and 4 gallons of juice
3. 10 loaves of bread and 5 gallons of juice
4. 11 loaves of bread and 6 gallons of juice

Why: To find the total loaves of bread needed, multiply the number of sandwiches (12) by the amount of bread per sandwich (2/3 loaf). This gives 12 * (2/3) = 8 loaves of bread. For the drinks, multiply 12 by the amount of juice per drink (1/4 gallon), which gives 12 * (1/4) = 3 gallons of juice. Therefore, Cristian needs 8 loaves of bread and 3 gallons of juice.

Saanvi is observing birds in a Texas park. She noted that there are two types of birds: sparrows and cardinals. When she looks at her notes, she sees that there are 12 sparrows and 8 cardinals. If she randomly selects one bird to observe, what is the probability that she will choose a cardinal?

1. 2/5 ✓
2. 3/5
3. 1/4
4. 4/5

Why: To find the probability of selecting a cardinal, you need to divide the number of cardinals by the total number of birds. Saanvi has 12 sparrows and 8 cardinals, which totals 12 + 8 = 20 birds. The probability of selecting a cardinal is the number of cardinals (8) divided by the total number of birds (20), which is 8/20. Simplifying 8/20 gives 2/5. Thus, the correct answer is 2/5.

Andrea is helping her family prepare for their annual peach festival in Fredericksburg, Texas. They need to create a fruit basket that will contain both peaches and oranges. If the basket is to have 2/3 of the fruit as peaches and the remaining 1/3 as oranges, and they plan to include a total of 18 pieces of fruit in the basket, how many peaches will be included in the basket?

1. 12 ✓
2. 6
3. 8
4. 10

Why: To find the number of peaches in the basket, first determine how many pieces of fruit will be peaches by using the fraction 2/3 of the total fruit. Calculate 2/3 of 18: (2/3) * 18 = 12. Therefore, there will be 12 peaches in the basket.