Erik buys carrots and dip for a class snack. The carrots are $3.80, and the dip is$2.60. Erik has a coupon for 5% off his grocer
ies. He does not need to pay tax. He gives the cashier $20 How much change does he receive back?
2 answers:
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Answer:
10 ounces of milk and 50 ounces of orange juice
Step-by-step explanation:
Let the amount of milk be x ounces and the amount of orange juice be y ounces.
1. An ounce of milk contains 20 milligrams of calcium and 60 micrograms of vitamin A. Then x ounces of milk contain 20x milligrams of calcium and 60x micrograms of vitamin A.
2. An ounce of orange juice contains 40 milligrams of calcium and 10 micrograms of vitamin A. Then y ounces of orange juice contain 40y milligrams of calcium and 10y micrograms of vitamin A.
<u>Calcium:</u>
20x milligrams in milk
40y milligrams in orange juice
2,200 milligrams in total
Hence,
<u>Vitamin A:</u>
60x micrograms in milk
10y micrograms in orange juice
1,100 micrograms in total
Hence,
Solve the system of two equations:
Divide each equation by 10:
From the second equation:
Substitute it into the first equation:
Answer:
14
Step-by-step explanation:
To get the answer, add the whole numbers together and then add the fractions together:
9 + 4 = 13
(You can even stop here because 14 is the closest to 13)
Now, add the fractions:
To add fractions you have to have a common denominator. To find the common denominator multiply 3 by 5, and 5 by 3. Like this:
Simplify:
Distribute everything from above
Add
So, the whole fraction will look like this . This is closest to 14.
Hope this helps!! Ask questions if you need!