Plz, answer the following. I will mark brainiest
2)How many pounds of walnuts that cost $0.80 per pound must be mixed
with 8 pounds of cashews that costs $1.25 per pound to make a mixture of
nuts that cost $1.00 per pound?
3. A chemist needs to mix a 12% acid solution with a 32% acid solution to
obtain an 8‐liters mixture consisting of 20% acid. How many liters of each of
the acid solutions must be used?
4. Peter and Steven take 5 1/3 hours to do a job. Steven alone takes 16 hours to
do the same job. How long would it take Peter to do the same job alone?
5. One pipe can empty a tank 2.5 times faster than another pipe. Starting with
a full tank, if both pipes are turned on, it takes 7.5 hours to empty the tank.
How long does it take the faster pipe working alone to empty a full tank?
6. Two mechanics were working on your car. One can complete the given job
in six hours, but the new guy takes eight hours. They worked together for
the first two hours, but then the first guy left to help another mechanic on
a different job. How long will it take the new guy to finish your car?
Answers
Answer:
Hey! This the solution for the 1st one. Hope it assists you
Step-by-step explanation:
The total amount of nuts in the mixture will be the number of pounds of walnuts (a) plus the number of pounds of cashews (8), or a + 8. And since we know that the price of the mixture will be $1.00 per pound, we can figure out the total cost of the mix by multiplying the amount by the price: 1.00(a + 8) = a + 8
Just as the total amount of nuts in the mixture could be determined by the amount of walnuts + the number of cashews, the total cost of the mix (a + 8) must be the sum of the total cost of the walnuts (0.8a) and the total cost of the cashews (10) within the mix. We can set these quantities equal to each other and then solve for a.
0.8a + 10=a + 8
0.8a + 10 − 0.8a=a + 8 − 0.8a
10=0.2a + 8
10 − 8=0.2a + 8 − 8
2=0.2a
a = 10, so there must be 10 pounds of walnuts in the mixture.
2nd answer...
We are mixing two acids.
x = liters of 20% acid solution
y = liters of 70% acid solution
x + y = 8 This represents the total number of liters
and
.2x + .7y = .5(8) This represents the concentration of the solutions
Since x+y=8, y = 8-x
We can use substitution.
.2x + .7(8-x) = 4
.2x + 5.6 - .7x = 4
Combining like terms
-0.5x = - 1.6
Dividing by -0.5
x = 3.2
There are 3.2 liters of the 20% solution to be mixed with 4.8 liters of the 70% solution.
Will definitely add the solutions for the next ones soon. Do inform if there is any difficulty in the solution
Answer:
Step-by-step explanation: