| A | B |
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| The sum of two numbers is 16. Three times the larger number decreased by the smaller number is 72. Find the two numbers | -6 and 22 |
| The Forrest Theater can seat a total of 360 people. They take in $15,150 when every seat is sold. If the orchestra section tickets cost $45 and balcony tickets cost $35, find the number of people that can be seated in the orchestra section. | 255 people |
| A riverboat can head 340 miles upriver in 19 hours, but the return trip takes only 14 hours. Find the current of the river and find the speed of the ship in still water to the nearest tenth of a mile. | ship: 21.1 mph; current: 3.2 mph |
| Sam Abney invested $9000 one year ago. Part of the money was invested at 6%, the rest at 10%. If the total interest earned in one year was $652.80, find how much was invested at each rate. | $6180 at 6%; $2820 at 10% |
| Find the amount of of 6% acid solution and the amount of 14% acid soulution Pat should combine to prepare 50 cc (cubic centimeters) of a 12% solution. | 6% solution: 12.5 cc; 14% solution 37.5 cc |
| The Deli charges $3.80 for a breakfast of 3 eggs and 4 strips of bacon. The charge is $2.75 for two eggs and 3 strips of bacon. Find the cost of each egg and the cost of each bacon strip. | one egg: $0.40; one strip of bacon: $0.65 |
| An exercise enthusiast alternates between jogging and walking. He traveled 15 miles during the past 3 hours. He jogs at a rate of 7.5 miles per hour and walks at a rate of 4 miles per hour. Find how much time, to the nearest hundredth of an hour, he actually spent jogging. | 0.86 hour |
| The perimeter of an isosceles (two sides equal) triangle is 73 centimeters. If two sides are of equal length and the third sie is 7 centimeters longer than the others, find the lengths of the three sides. | Two sides, 22 cm each: third side, 29 cm |
| The sum of three numbers is 98. The sum of the first and second is two more than the third number, and the second is four times the first. Find the numbers. | 10, 40, and 48. |
| Chris Kringler has $2.77 in his coin jar- all in pennies, nickels, and dimes. If he has 53 coins in all and four more nickels than dimes, find how many of each type of coin he has. | 17 pennies, 20 nickels, and 16 dimes. |
| An employee at a See's Candy Store needs a special mixture of candy. She has creme-filled chocolates that sell for $3.00 per pound, chocolate-covered nuts that sell for $2.70 per pound, and chocolate-covered raisins that sell for $2.25 per pound. She wants to have twice as many raisins as nuts in the mixture. Find how many pounds of each she should use to make 45 pounds worth $2.80 per pound. | 30 pounds of creme-filled, 5 pounds of chocolate- covered nuts; 10 pounds of chocolate covered raisins |
| The sum of three numbers is 295. One number is five more than a second and twice the third. Find the numbers. | 120, 115, and 60 |
| Answer true or false; A system of linear equations in two variables can have exactly two solutions. | False |
| Answer true or false; In the two equations in a system of linear equations are added and the result is 3 = 0, the system has no solution. | True |
| Answer true or false; If the two equations in a system of linear equations are added and the result is 3x = 0, the system has no solution. | False |
| Find the amount of a 12% saline solution a lab assistant should add to 80 cc (cubic centimeters) of a 22% saline solution in order to have a 16% solution. | 120cc |
| Don has invested $4000, part at 5% simple annual interest and the rest at 9%. Find how much he invested at each rate if the total interest after 1 year is $311. | $1225 at 5%; $2775 at 9% |
| Although the number of farms in the U.S. is still decreasing, small farms are making a comeback. Texas and Missouri are the states with the most number of farms. Texas has 116 thousand more farms than Missouri and the total number of farms for these two states is 336 thousand. Find the number of farms for each state. | Texas: 226 thousand; Missouri: 110 thousand |
