Question

Jenny is taking a two part exam. She wants a combined score of 85 points. On part one of the exam she scored 47 points. Using the variable P to represent the number of points she will score on part two of the exam, write an inequality that models the situation. Find the number of points she must score on part two to reach or exceed her goal of 85 points on the two part exam.

Answer 1

Answer: The answer is
`p\geq 38.`

Step-by-step explanation: Given that Jenny is appearing in an exam consisting of two parts. She needs a combined score of 85 where in the part one, she scored 47 points.

We need to find the number of points 'P' Jenny must score in part two to reach or exceed her goal of combined 85 marks.

The total marks she will score in the two parts is (P+47). So, the inequality is given by

`\textup{P}+47\geq 85.`

And, after solving, we get

`\textup{P}+47\geq 85\\\\\Rightarrow \textup{P}\geq 85-47\\\\\Rightarrow \textup{P}\geq38.`

Thus, the minimum marks she must score to reach her goal is 38.

Answer 2

47 + P ≥ 85

P ≥ 38

Explanation:

Let, the number of points she scored in part 2 = P.

It is given that the number of points she scored in part 1 = 47 and the total number of points she scored = 85.

Further, she is required to score points to reach or exceed the score of 85.

This means that, she must score points greater than or equal to 85.

The expression for this situation will become,

47 + P ≥ 85

i.e. P ≥ 85 - 47

i.e. P ≥ 38

Hence, she must score 38 or more than 38 points in part 2 to reach or exceed her goal.