Nightingale College Find the Algebraic Values Algebra Questions Attached to this document is 10 basic problems that I am having difficulty with. They are algebra I level and should be done fairly easily but me and math do not get along. 1. Bria needs 70 milliliters of a 33% acid solution for a chemistry experiment. She has
two acid solutions, A and B, that can be mixed together to form the solution. Solution
A is 30% acid, and Solution B is 60% acid. How much of each solution should she use to
create the mixture?
She should use
milliliters of Solution A.
She should use
milliliters of Solution B.
2. The Nutty Professor sells cashews for $7.20 per pound and Brazil nuts for $4.80 per
pound. How much of each type should be used to make a 40 pound mixture that sells
for $6.30 per pound?
pounds of cashews
pounds of Brazil nuts
3. Scott is handing out bubble gum and jelly beans for Halloween. He wants to have a total
of 5 pounds of candy, but he doesn’t want to spend more than $9.90 total on the candy. If
bubble gum costs $2.70 per pound, and jelly beans costs $1.50 per pound, how many
pounds of each type of candy should he buy?
He should buy
pounds of bubble gum and
pounds of jelly beans.
4. An airplane travels 480 in 3 hours with the wind. The return trip against the wind
takes 4 hours. What is the wind speed and the speed of the airplane in still air?
The speed of the airplane is
The wind speed is
miles per hour.
miles per hour.
5. A boat travels upstream for 36 miles in 4 hours and returns in 3 hours traveling
downstream in a river. What is the rate of the boat in still water and what is the rate
of the current?
The rate of the boat in still water is
The rate of the current is
miles per hour.
miles per hour.
6. The difference of two positive numbers is 115, and one number is 6 times as large as
the other. What are the numbers?
The larger number is
The smaller number is
7. A boat travels upstream for 48 miles in 4 hours and returns in 3 hours traveling
downstream in a river. What is the rate of the boat in still water and what is the rate
of the current?
The rate of the boat in still water is
The rate of the current is
miles per hour.
miles per hour.
8. Find two numbers aa and bb whose sum a+ba+b is -2 and whose difference a−ba-b is -6.
a=
b=
9. The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for
adults. On a certain day, 283 people entered the park, and the admission fees
collected totaled 862 dollars. How many children and how many adults were
admitted?
number of children equals =
number of adults equals =
10. A man has 35 coins in his pocket, all of which are dimes and quarters. If the
total value of his change is 575 cents, how many dimes and how many
quarters does he have?
number of dimes equals
number of quarters equals
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