ATI TEAS Guide To Math | Word Problems Question Review

The cost of a hummer is x. The cost of two boxes of nails would be 2y. The total cost would be x + 2y.

Let k = the number of cars Kevin has and g = the number of cars Gabe has. Now you can write the equations g + k = 46 and g = k + 12. You can substitute the second equation into the first to get k + 12 + k = 46. Simplify that to 2k + 12 = 46. Subtract 12 from both sides to get 2k = 34. Divide both sides by 2 to get k = 17. Since the question asks for the number of train cars Gabe has, you need to solve for g. g = k + 12, so g = 17 + 12 = 29.

Let b = the number of biology books and c = the number of chemistry books. The total then is b + c = 58. You also know that alexia has 13 more chemistry books than biology books, so c = 14 + b. Substitute the second equation into the first to get b + 14 + b = 58. Simplify that to 14 + 2b = 58. Subtract 14 from both sides to get 2b = 44. Divide both sides by 2 to get b = 22.

First, formulate a question you can translate into an equation: what percent of the total number of toys is the number of blocks? Let A equal the percent you are looking for. Now the question translates to A / 100 x (x + y + z) = z . Multiply both sides by 100 to get A(x + y + z) = 100z.

Divide both sides by (x + y + z) to get A = 100z / ( x+y+z ) .

Let t = the number of teachers needed. Set up proportion. The needed ratio is 12:1, so 364/t ≤ 12/1 . You need to use the less than or equal to symbol to be sure that there are no more than 12 students per teacher.

Plug in 2 for r to get 5q + 2 = 27. Now subtract 2 from both sides to get 5q = 25. Divide both sides by 5 to get q = 5.

The salary of the hygienists would be 14x. The salary of the lab technicians would be 12y. The total salary would be 14x + 12y.

Let x = the number of weeks. Kendra saves $30 per week, so that is 30x. Since she already has $90, now it is 30x + 90. She wants to have at least 300, so 30x + 90 > 300.