Understand, Solve, and Explain
You have a recipe that calls for 2 liters of water, but your measuring cup only has markings for milliliters. How many milliliters of water do you need for the recipe?
1 liter = 1,000 milliliters
2,000 milliliters
You are planning a hiking trip and want to know how many kilometers you will walk. The trail is 5 miles long. Use the conversion factor 1 mile = 1.60934 kilometers to calculate the distance in kilometers.
8.05 kilometers
Zach went to a restaurant with some friends. The bill came to $55.36. They want to leave an additional 18% tip. How much will they pay in totoal?
$65.32
Find the surface area and volume of the 3-dimensional shapes.
Cylinder with a diameter of 14 in. and a height of 18 in.
Surface area: 1099.56 in.2
Volume: 2770.88 in. 3
You are buying cereal and have three options:
Option A: A 24-ounce box costs $4.80.
Option B: A 36-ounce box costs $6.30.
Option C: A 48-ounce box costs $8.40.
Which one is most economical?
Option B and Option C are equally economical, with a cost of $0.175 per ounce.
You are making a large batch of cookies and the recipe calls for 3 cups of sugar. You only have a 1/4 cup measuring cup. How many times do you need to fill the 1/4 cup measuring cup to get the required 3 cups of sugar?
12 times
Suppose the population of a town has risen from 7,500 a decade ago to 10,432 today. Find the absolute change and the relative change in the population.
Absolute: 2,932
Relative: 39.09% increase
What is the difference in perimeter and area?
Perimeter: distance around the outside
Area: how many squares can fit inside
You are shopping for snacks and have three options for buying a pack of 12 granola bars:
Option A: A pack of 12 granola bars costs $18.
Option B: A pack of 12 granola bars is on sale for $15, but you need to pay an additional $3 for shipping.
Option C: A pack of 12 granola bars costs $20, but you have a coupon for 25% off.
Calculate the total cost for each option and determine which option is the most economical.
Option C
You are planning a road trip and need to budget for gas. Your car's fuel efficiency is 30 miles per gallon, and the distance of your trip is 450 miles. If the price of gas is $3.75 per gallon, how much will you spend on gas for the trip?
$56.25
You are shopping for a new laptop that costs $1,200. The store is offering a 15% discount on all electronics. Additionally, there is a sales tax of 8% applied to the discounted price. Calculate the final price you will pay for the laptop after applying the discount and sales tax.
$1,101.60
You have a rectangular garden that measures 10 feet in length and 6 feet in width. You want to put a fence around the garden and also plant grass to cover the entire area of the garden. Calculate the perimeter of the garden for the fence and the area of the garden for the grass.
Perimeter: 32 feet
Area: 60 feet2
You are buying laundry detergent and have three options:
Option A: A 64-ounce bottle costs $12.80.
Option B: A 96-ounce bottle costs $17.28.
Option C: A 128-ounce bottle costs $22.40.
Which one is most economical?
Option C is the most economical choice, with a cost of $0.175 per ounce.
You are planning a trip to Europe and need to exchange US dollars (USD) for euros (EUR). The current exchange rate is 1 USD = 0.85 EUR. You have $1,000 USD to exchange. Calculate how many euros you will receive. Additionally, if you plan to spend 600 EUR on your trip, how much will you have left in euros after your expenses?
250 euros
You and your friends go out to eat at a restaurant. The total bill comes to $120. The restaurant is offering a 10% discount on the total bill. Additionally, you want to leave a 15% tip on the discounted amount. Calculate the final amount you will pay after applying the discount and adding the tip.
$124.20
James wants to repaint the walls of two bedrooms in his house. The first room is 18 feet long and 22 feet wide. The second room is 14 feet long and 16 feet wide. Both rooms have a ceiling 8 feet high. These two rooms have (in total)
-2 windows (each 3.5 ft. x 6.5 ft.)
-6 doors (each 6 ft. x 3 ft.)
He will not be painting the ceiling, floor, doors, or windows.
How many square feet will James need to paint?
966.5 ft2
You are buying paper towels and have three options:
Option A: A pack of 6 rolls costs $9.00, and each roll has 100 sheets.
Option B: A pack of 8 rolls costs $12.00, and each roll has 90 sheets.
Option C: A pack of 10 rolls costs $15.00, and each roll has 80 sheets.
Calculate the cost per sheet for each option and determine which option is the most economical.
Option A is the most economical choice, with a cost of $0.015 per sheet.
In the 1970s floppy disks were the common method for storing digital data. A typical floppy disk's capacity was 720 kilobytes. Today, digital storage is often measured in units of terabytes. How many floppy disks woud it take to store 1 terabyte of data.
Some conversions you may find useful (you might not need all of them)
1.5 gigabytes=1536 megabytes
0.5 kilobyte =500 bytes
0.3125 megabyte = 320 kilobytes
0.75 terabyte = 768 gigabytes
1,491,308.09 floppy discs
You went to a restaurant and paid a total of $86.40, which includes a 20% tip. Calculate the original bill amount before the tip was added. Additionally, if the sales tax rate is 8%, calculate the original bill amount before the sales tax was added.
The original bill amount before the tip was added was $72.00, and the original bill amount before the sales tax was added was $66.67.
You are building a rectangular garden bed that measures 8 feet in length, 48 inches in width, and 2 feet in height. You need to fill the garden bed with soil. Calculate the volume of soil needed to fill the garden bed in cubic feet. Additionally, if one bag of soil covers 1.5 cubic feet, how many bags of soil will you need to fill the garden bed?
Approximately 43 bags of soil