Answer:
100 POINTS!!! PLEASE SHOW YOUR WORK. I WANT TO UNDERSTAND IT
5 QUESTIONS
1) Pedro wants to make a 35% sugar solution. He has 3 ounces of a 56% sugar. How many ounces of a 14% sugar solution must he add to this to create the desired mixture?
2) Xavier wants to make 10 gallons of a 42% saline solution by mixing together a 50% saline solution and a 10% saline solution. How much of each solution must he use?
3) A passenger on a plane made a trip to Portland and back/ The plane took the same route coming back. On the trip there it flew 210 kilometers per hour and on the return trip it went 280 kilometers per hour. If the total trip took 5 hours, how long did the trip take coming back?
4) Amanda and Alexis live 4 miles apart. They decide to start walking toward each other's houses at the same time. Amanda walks at a rate of 3.5 miles per hour and Alexis walks at a rate of 4 miles per hour. How long will it take for them to meet?
5) Working alone, Juan can harvest a field in 13 hours. Shayna can harvest the same field in 14 hours. Find how long it would take them if they worked together.
Answer:
<u>Part A: </u>
<u>n = 5q (1st equation)</u>
<u>0.05n + 0.25q = 2 (2nd equation)</u>
<u>Part B:</u>
<u>q = 4 ⇒ n = 5 * 4 = 20</u>
<u>Part C:</u>
<u>Margie has 20 nickels and 4 quarters, for a total of $ 2.00</u>
Step-by-step explanation:
Let's recall that a nickel has a value of $ 0.05 and a quarter a value of $ 0.25.
Let n represent the number of nickels and q represent the number of quarters.
Part A:
Write a system of equations to represent the situation.
n = 5q (1st equation)
n * 0.05 + q * 0.25 = 2
0.05n + 0.25q = 2 (2nd equation)
Part B:
Replacing n in the 2nd equation to solve for q:
0.05n + 0.25q = 2
0.05 * 5q + 0.25q = 2
0.25q + 0.25q = 2
0.5q = 2
q = 2/0.5
<u>q = 4 ⇒ n = 5 * 4 = 20</u>
<u>Part C:</u>
<u>Margie has 20 nickels and 4 quarters, for a total of $ 2.00</u>
Answer:
x=5.657 y=5.657
Step-by-step explanation:
