1. Jake is making tea. He has brewed 13 cups of tea and begins to sweeten it with sugar. What represents the ratio of sugar to total tea if Jake adds x cups of sugar? 2. Ken is preparing a solution of weed killer for his garden. He pours 3 quarts of water into the sprayer. He needs to add concentrated weed killer to the water. What expression represents the ratio of weed killer concentrate to the total mixture if Ken adds x quarts of weed killer concentrate? 3. A strike in bowling is knocking down all the ten pens with one throw. Mary has thrown 1 strike in the first 5 frames. What expression gives the ration of strikes to frames if Mary throws a strike in the next x consecutive frames? 4.Shawn is taking a test. He has answered 12 out of 15 questions correctly. Then the teacher tells the class there are more questions on the back of the test. Shawn answers all of the questions on the back of the test correctly. If x represents the number of additional questions on the back of the test, what rational expression models the situation? 5. A plane takes of from Phoenix and flies for 3 hours to reach Dallas. It then refuels and averages 307 miles per hour on a flight to Orlando. Phoenix and Dallas are 885 miles apart. If x represents the total flight time from Dallas to Orlando, what rational expression represents the average speed of the plane during the trip from Phoenix to Orlando?

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Algebra word problems for fun!
1. Jake is making tea. He has brewed 13 cups of tea and begins to sweeten it with sugar. What represents the ratio of sugar to total tea if Jake adds x cups of sugar?
Answer
Number of cups of tea = 13
Number of cups of sugar = x
Number of cups of total tea = 13 + x
Therefore, ratio of sugar to total tea =
2. Ken is preparing a solution of weed killer for his garden. He pours 3 quarts of water into the sprayer. He needs to add concentrated weed killer to the water. What expression represents the ratio of weed killer concentrate to the total mixture if Ken adds x quarts of weed killer concentrate?
Answer
Number of quarts of ...

Solution Summary

The solution provides step by step method for the calculation of answers to algebra word problems. Formula for the calculation is also included.

The owner of a hobby store bought a case of 9-volt batteries for $26.00. He marked the price up such that his profit was $1.74 per battery. After selling 13 batteries, the store owner had recovered his cost. How many 9-volt batteries are in a case?

30. Assume that Joe take 6 hours working alone and Sam takes 8 hours working alone, how long does it take the, to do it together?
54. (1 +3i) (2-5i)
64. i(3-4i) (6+4i)
84. 14 + 5i divided by 3 +2i
94. 5 divided by 9i

Jenny purchased a prepaid phone card for $20. The long distance calls cost 10 cents a minute using this card. Jenny used her card only once to make a long distance phone call. If her remaining credit on the card is $18.90. How many minutes did her call last?

Please see the attached file for all of the problems.
12. Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m and the area is 224m2, find the length of the other base.
13. The sum of two consecutive integers is 145. Find the two integers.
14. Yuri has a board that is 98

In a family there are two cars. In a given week, the first car gets an average of 25 miles per gallon, and the second car gets 40 miles per gallon. The two cars combined drive a total of 2100 miles in that week, for a total gas consumption of 60 gallons. How many gallons were consumed by each of the two cars that week?

Let the function fun be defined as:
int fun(int *k) {
*k += 4;
return 3 * (*k) - 1;
}
Suppose fun is used in a program as follows:
void main() {
int I = 10, j = 10, sum1, sum2;
sum1 = (I / 2) + fun(&i);
sum2 - fun(&j) + (j / 2);
}
What are the values of sum1 and sum2?
a. If the operands in the ex

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94.
Area of painting. A rectangular painting with a width of x centimeters has an area of x2 + 50x square centimeters. Find a binomial that represents the length. See the accompanying figure.
96.
Amount of an investment of P dollars for t years at simple inte

How to solve for the variable "X"
The following problems have tripped me up. I can't seem to figure out how to solve them. I've tried, several times, and had my algebra teacher explain them, but I still can't get the answers.
3x - 11 = 6
2x - 7 = 3 + x
3 + 3x = 9 + 2x
3x - 3

Let the function fun be defined as
int fun(int *k) {
*k += 4;
return 3 * (*k) - 1;
}
Suppose fun is used in a program as follows
void main() {
int I = 10, j = 10, sum1, sum2;
sum1 = (I / 2) + fun(&i);
sum2 - fun(&j) + (j / 2);
}
What are the values of sum1 and sum2
a. if the operands in the expressions are