TEKS 6.6C Worksheets — Grade 6 Represent a given situation using verbal descriptions

Sofia is organizing a school fundraiser to buy books for the library. She plans to sell bookmarks for $2 each and homemade cookies for $3 each. If she wants to raise a total of $150, which equation best represents the total amount of money she needs to earn from selling x bookmarks and y cookies?

1. 2x + 3y = 150 ✓
2. 2x + 3y = 1500
3. 2x - 3y = 150
4. 3x + 2y = 150

Why: The correct equation is 2x + 3y = 150 because it represents the total amount earned by selling x bookmarks at $2 each and y cookies at $3 each, totaling $150.

Carolina is planting bluebonnets in her garden in Texas. She uses 2/3 of a bag of soil for each bluebonnet plant. If she plans to plant a total of 12 bluebonnet plants, which equation can be used to find the total number of bags of soil needed (x) based on the number of bluebonnets (y)?

1. x = (2/3)y ✓
2. y = (2/3)x
3. y = 2/3 + x
4. x = y - 2/3

Why: The correct equation is x = (2/3)y because for every bluebonnet plant (y), Carolina needs 2/3 of a bag of soil. Therefore, if she wants to plant 12 bluebonnets, the total amount of soil needed (x) can be calculated by multiplying the number of bluebonnet plants (y) by 2/3.

Paola wants to buy a combination of tacos and nachos at a food truck festival in Austin, Texas. Each taco costs $2.50, and each order of nachos costs $4.00. Paola has $20.00 to spend. If she buys x tacos and y orders of nachos, which equation represents the total amount she can spend on tacos and nachos?

1. 2.5x + 4y = 20 ✓
2. 2.5x + 4y = 10
3. 2x + 4y = 20
4. 2x + 4y = 10

Why: To find the total amount Paola can spend, we represent the cost of tacos and nachos using the equation 2.5x + 4y = 20. In this equation, 2.5 represents the cost of each taco, x represents the number of tacos, 4 represents the cost of each order of nachos, and y represents the number of nachos. Therefore, the correct equation to describe the total amount she can spend is 2.5x + 4y = 20.

Isabella plans to plant a garden in her backyard in Killeen, Texas. She needs to buy soil that comes in bags. Each bag of soil can cover an area of 2 square feet. If Isabella's garden measures 20 square feet, how many bags of soil does she need to buy to cover the entire area?

1. 10 ✓
2. 12
3. 8
4. 6

Why: To find the total number of bags of soil Isabella needs, divide the total area of the garden by the area each bag covers. The area of the garden is 20 square feet, and each bag covers 2 square feet. Therefore, 20 / 2 = 10 bags. Isabella needs to buy 10 bags of soil.

Olivia is selling oranges from her family's farm in the Rio Grande Valley. She sells the oranges for $0.50 each, and she has a goal to earn at least $60. If she sells x oranges, which inequality accurately represents the situation where Olivia's earnings are at least $60?

1. 0.5x ≥ 60 ✓
2. 0.5x ≤ 60
3. x + 0.5 ≥ 60
4. 60x ≥ 0.5

Why: To find the number of oranges Olivia needs to sell to earn at least $60, we can set up the equation where her earnings from selling x oranges at $0.50 each must be greater than or equal to $60. Therefore, the correct inequality is 0.5x ≥ 60. Solving this gives x ≥ 120, meaning Olivia must sell at least 120 oranges.

Sofia is saving money to buy a new bicycle that costs $150. She currently has $60 saved. If she can save $15 each week, how many weeks will it take her to save enough money to buy the bicycle?

1. 6 ✓
2. 5
3. 4
4. 7

Why: To find out how many weeks it will take for Sofia to save enough money, first subtract how much she has from the total cost: $150 - $60 = $90. Next, divide the remaining amount by her weekly savings: $90 ÷ $15 = 6 weeks. Therefore, it will take Sofia 6 weeks to save enough money for the bicycle.

Kavya visits the San Antonio River Walk with her friends. They plan to spend a total of $60. If they spend x dollars on food, the amount they have left for souvenirs can be represented by the equation y = 60 - x. If Kavya decides to spend $20 on food, how much can she spend on souvenirs?

1. $40 ✓
2. $30
3. $50
4. $20

Why: To find out how much Kavya can spend on souvenirs, we substitute x with 20 in the equation y = 60 - x. This gives us y = 60 - 20, which simplifies to y = 40. Therefore, Kavya can spend $40 on souvenirs.

Brielle is planning a trip to the Central Texas region. She notices that the average gas mileage of her car is 25 miles per gallon. If she travels 150 miles to visit a friend and the gas price is $3.25 per gallon, how much will Brielle spend on gas for her trip?

1. $19.50 ✓
2. $12.75
3. $15.00
4. $18.25

Why: To find out how much Brielle will spend on gas, first calculate how many gallons of gas she will need to drive 150 miles by dividing the total miles by the miles per gallon: 150 miles ÷ 25 miles per gallon = 6 gallons. Then multiply the number of gallons by the price per gallon: 6 gallons * $3.25 = $19.50. Therefore, Brielle will spend $19.50 on gas for her trip.