Chapter ISG, Problem 6.1.1.1P

a.

To determine

To define variables.

Answer to Problem 6.1.1.1P

x and y are variables, 2 and 3 are their respective constraints.

Explanation of Solution

Given:

Points per question in 1^st round=2

Points per question in 2^nd round=3

Calculation:

Let total questions in 1^st round be x and,

Let total questions in 2^nd round be y.

Constraints in x and y are 2 and 3 respectively.

b.

To determine

To write an equation

Answer to Problem 6.1.1.1P

  $2x+3y=60$

  $x+y=25$

Explanation of Solution

Given information:

Total points=60

Points earned for each question in first round=2

Points earned for each question in first round=3

Total question asked=25

Calculation:

According to question,

Total points earned in 1^st round= $2x$

Total points earned in 2^nd round= $3y$

Total points earned=points earned in 1^st round+ points earned in 2^nd round.

Total points earned= $2x+3y$

  $2x+3y=60$  -(1)

Also,

Total questions=25

Total questions=Number of question asked in 1^st+number of question asked in 2^nd round

  $x+y=25$  -(2)

From (1) and (2)

  $2x+3y=60$

  $x+y=25$

These are the equations.