Question

Help solving this problem, the second problem not the third

Answer 1

The student needs assistance with solving a mathematics problem using both algebraic skills and calculator functions.

Step-by-step explanation:

The student is seeking help with a mathematics problem which entails solving equations, likely involving algebra. The strategy for problem-solving in mathematics often includes a step-by-step approach (Solution A) and the use of technological aids such as the TI-83, 83+, or 84 calculators (Solution B). In addressing the student's needs, it would be key to explain the algebraic process which can include identifying knowns and unknowns, checking for the reasonableness of answers, and solving simultaneous equations. Although the exact problem is not specified, common strategies involve careful algebraic manipulation and sometimes the use of calculator functions to simplify or check work. When working through tedious algebra, it is crucial to conduct careful checking and rechecking to ensure accuracy.

Answer 2

Given:

1 Van and 4 buses filled with 195 students.

1 Van and 5 buses filled with 241 students.

Let x and y be the number of students in Van and number of students in bus.

`\begin{gathered} x+4y=195\ldots\text{ (1)} \\ x+5y=241\ldots\text{ (2)} \end{gathered}`

Subtract equation (1) from equation (2)

`\begin{gathered} x+5y-x-4y=241-195 \\ y=46 \end{gathered}`

Substitute y=46 in equation (1)

`\begin{gathered} x+4(46)=195 \\ x+184=195 \\ x=195-184 \\ x=11 \end{gathered}`

Number of students that van can carry is 11.

Number of students that bus can carry is 46