need help with 2 word problems
the instructions on a package of fertilizer say to mix 1 spoonful to 9 pints of water. How many cups would this make? How many quarts? how many gallons?
In an 880 relay race, 4 runners on a team each run 880 yards. how many feet is this? how many miles is this?
1.
Since cups are mentioned, I assume you are dealing with US units.
In US,
1 gallon = 4 quarts = 8 pints
1 quart = 2 pints
1 pint = 2 cups = 16 fl. oz.
So 9 pints make 9*2=18 cups.
or 9/2 = 4 1/2 quarts
or 9/8=1.125 gallons.
2.
In imperial measure,
1 mile = 1760 years = 8 furlongs
1 furlong = 220 yards
1 yard = 3 feet
Each runner runs
880 yards
= 4 furlongs (used in horse racing)
= half a mile.
Total distance covered by 4 runners
= 4 * 0.5 mile
= 2 miles.
Sure, I can help you with these two word problems. Let's start with the first one about the fertilizer mixture.
1. Fertilizer Mixing:
The instructions on the fertilizer package say to mix 1 spoonful with 9 pints of water. To determine how many cups this would make, we'll need to know the conversion factors for pints, cups, quarts, and gallons. Here are the conversions:
- 1 pint = 2 cups
- 1 quart = 2 pints
- 1 gallon = 4 quarts
Now let's calculate:
a) How many cups would the mixture make?
Since 1 pint is equal to 2 cups, we can multiply the given 9 pints by 2 cups/pint:
9 pints * 2 cups/pint = 18 cups
Therefore, the mixture would make 18 cups.
b) How many quarts would the mixture make?
Since 1 quart is equal to 2 pints, we can use the conversion factor to find the number of quarts:
9 pints * 1 quart/2 pints = 4.5 quarts
Therefore, the mixture would make 4.5 quarts.
c) How many gallons would the mixture make?
Since 1 gallon is equal to 4 quarts, we can use the conversion factor to find the number of gallons:
4.5 quarts * 1 gallon/4 quarts = 1.125 gallons
Therefore, the mixture would make 1.125 gallons.
Now, let's move on to the second word problem about the relay race.
2. 880 Yard Relay Race:
In an 880 relay race, each of the 4 runners runs 880 yards. To find out how many feet and miles this is, we'll need the following conversion factors:
- 1 yard = 3 feet
- 1 mile = 1760 yards
Now let's calculate:
a) How many feet is the total distance covered by all 4 runners?
To find this, we need to multiply the distance run by each runner (880 yards) by the number of runners (4), and then convert it to feet:
880 yards * 4 runners * 3 feet/yard = 10,560 feet
Therefore, the total distance covered by all 4 runners is 10,560 feet.
b) How many miles is the total distance covered by all 4 runners?
To find this, we divide the total distance in yards by the number of yards in a mile and convert it to miles:
880 yards * 4 runners / 1760 yards/mile = 2 miles
Therefore, the total distance covered by all 4 runners is 2 miles.
I hope this helps! Let me know if you have any further questions.