Understanding Ratios and Proportions

Sofia and Cristian are shopping for a stylish jacket at their favorite store, which is having a fantastic 25% off sale! If the jacket originally costs $80, what is the sale price that Sofia and Cristian will pay?

• $20

• $60

• $55

• $65

Answer explanation

To find the sale price, calculate 25% of $80, which is $20. Subtract this discount from the original price: $80 - $20 = $60. Therefore, the sale price of the jacket is $60.

Tags

CCSS.6.RP.A.3C

Cristian and Sofia are on a road trip adventure! They drove 300 miles and used 10 gallons of gas. Can you help them figure out their car's fuel efficiency in miles per gallon?

• 20 miles per gallon

• 25 miles per gallon

• 30 miles per gallon

• 35 miles per gallon

Answer explanation

To find fuel efficiency, divide the distance traveled by the gallons used: 300 miles ÷ 10 gallons = 30 miles per gallon. Therefore, the correct answer is 30 miles per gallon.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

• 0.25

• 0.5

• 0.75

• 1.25

Answer explanation

To convert the fraction \(\frac{3}{4}\) to a decimal, divide 3 by 4. This results in 0.75, which is the correct answer. The other options do not represent \(\frac{3}{4}\) accurately.

Mia and Cristian are on a treasure hunt! They need to find the spot on the number line that represents 10% to unlock the next clue. Can you help them by choosing the right number?

• 0.01

• 0.1

• 0.25

• 0.5

Answer explanation

10% of a number is represented as 0.1 in decimal form. Therefore, 0.1 is the correct choice, while 0.01 represents 1%, 0.25 represents 25%, and 0.5 represents 50%.

Tags

CCSS.4.NF.C.6

Zoey is baking a giant cake for her best friend Mia's birthday party. The recipe calls for 2 cups of sugar for every 3 cups of flour. If Zoey decides to use 6 cups of flour to make the cake extra big, how much sugar does she need to keep the cake perfectly sweet?

• 3 cups

• 4 cups

• 5 cups

• 6 cups

Answer explanation

The recipe ratio is 2 cups of sugar for every 3 cups of flour. If you use 6 cups of flour, you need double the sugar: (6/3) * 2 = 4 cups of sugar.

Cristobal is on a shopping spree and finds a stylish shirt priced at $40. If the sales tax is 8%, what will be the total cost of the shirt including tax?

• $42.40

• $43.20

• $44.00

• $48.00

Answer explanation

To find the total cost, calculate the sales tax: $40 x 0.08 = $3.20. Then add the tax to the original price: $40 + $3.20 = $43.20. Thus, the total cost of the shirt including tax is $43.20.

Tags

CCSS.6.RP.A.3C

Victoria decided to challenge herself by running 5 miles in 40 minutes. Can you help her figure out her running rate in miles per hour?

• 6 miles per hour

• 7.5 miles per hour

• 8 miles per hour

• 10 miles per hour

Answer explanation

To find the running rate, convert 40 minutes to hours: 40 minutes = 40/60 = 2/3 hours. Then, divide the distance by time: 5 miles / (2/3 hours) = 5 * (3/2) = 7.5 miles per hour. Thus, the correct answer is 7.5 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Omar and Azul are baking cookies and they need to convert 0.6 cups of sugar into a fraction for their recipe. Can you help them figure it out?

Answer explanation

To convert 0.6 to a fraction, recognize that 0.6 is equivalent to 6/10. Simplifying 6/10 by dividing both the numerator and denominator by 2 gives 3/5. Thus, the correct answer is \(\frac{3}{5}\).

Jesus, Sofia, and Aaron are organizing a community event and need to decorate exactly 33 1/3% of a 10 by 10 grid with colorful flags. How many squares should they decorate to meet their goal?

• 10 squares

• 20 squares

• 30 squares

• 33 squares

Answer explanation

A 10 by 10 grid has 100 squares. To find 33 1/3%, calculate 33.33% of 100, which equals 33.33 squares. Rounding down gives 33 squares, making it the correct representation of 33 1/3%.

Tags

CCSS.6.RP.A.3C

Camila and Jesus are planning a road trip and are looking at a map with a scale of 1 inch = 5 miles. If the distance between their starting point and destination is 3 inches on the map, how many miles will they actually travel?

• 10 miles

• 15 miles

• 20 miles

• 25 miles

Answer explanation

The map scale is 1 inch = 5 miles. If the cities are 3 inches apart on the map, the real distance is 3 inches x 5 miles/inch = 15 miles. Therefore, the correct answer is 15 miles.

Tags

CCSS.6.RP.A.3B