QuestionBrian made 4 purchases earning 9.6 points. Find points per purchase $n$ using the equation $4n = 9.6$ and solve for $n$ .

Studdy Solution

STEP 1

Assumptions1. Brian has made4 purchases. The total number of points earned is9.63. Each purchase earns the same number of points, denoted as $n$

STEP 2

We can write an equation that represents the total number of points earned by Brian. Since each purchase earns the same number of points, the total points earned is the number of purchases multiplied by the points earned per purchase.
$Total\, points = Number\, of\, purchases \\times Points\, per\, purchase$

STEP 3

Now, let's fill in the blanks with the letter $n$ (points per purchase) and the numbers (number of purchases) and9.6 (total points).
$9.6 = \\times n$

STEP 4

To find the number of points earned with each purchase, we need to solve the equation for $n$ . We can do this by dividing both sides of the equation by4.
$n = \frac{9.6}{4}$

STEP 5

Now, let's calculate the value of $n$ .
$n = \frac{9.}{4} =2.4$ Brian earns2.4 points with each purchase.

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