1. Tim covers 1.345 km in 1 hour and 2.378 km in the next 2 hours. What distance does he cover in 3 hours?
2. 1746.25 ml of milk and 899.75 ml of strawberry pulp are used to make a batch of milkshake. The entire quantity is divided equally into 21 bottles. How much milkshake does each bottle hold? Write your answer in L and mL.
3. Aria had $354.40. She spent one-eighth of the amount on a box of cupcakes and 3/10 of the remaining amount on a book. How much money was she left with?
Answer (2)
Tim covers a total of 3.723 km in 3 hours. Each bottle of the milkshake holds 0.126 L or 126 ml, and Aria is left with $217.07 after her purchases.
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To find the total distance Tim covers in 3 hours, we simply add the distances for each period. First, Tim covers 1.345 km in 1 hour, and then in the next 2 hours, he covers 2.378 km. Therefore, the total distance is:
Total Distance = 1.345 km + 2.378 km = 3.723 km
So, Tim covers 3.723 km in 3 hours.
To find out how much milkshake each bottle holds, first calculate the total volume of milkshake by adding the milk and strawberry pulp:
Total Milkshake Volume = 1746.25 ml + 899.75 ml = 2646 ml
Next, divide the total volume by the number of bottles:
Volume per Bottle = 21 2646 ml = 126 ml
To convert milliliters to liters, remember that 1000 ml is 1 L:
126 ml = 0.126 L
Therefore, each bottle holds 0.126 L and 126 ml.
First, calculate how much Aria spent on the cupcakes:
Amount spent on cupcakes = 8 1 × 354.40 = 44.30
Next, find the remaining amount after buying the cupcakes:
Remaining amount = 354.40 − 44.30 = 310.10
Then, calculate how much she spent on the book, which is 3/10 of the remaining amount:
Amount spent on book = 10 3 × 310.10 = 93.03
Finally, subtract the amount spent on the book from the remaining amount:
Amount left = 310.10 − 93.03 = 217.07
Aria is left with $217.07.
