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QuestionZack spent the same total on parking and shopping each day. Find the per-minute parking cost if he parked 68 mins for \$34 and 143 mins for \$31.

Studdy Solution

STEP 1

Assumptions1. Zack spent the same total amount on parking and shopping each day. . The parking cost is charged per minute and is constant for each day.
3. The total cost for each day is the sum of the parking cost and the shopping cost.

STEP 2

Let's denote the cost per minute of parking as $$.
The total cost for each day is the sum of the parking cost and the shopping cost. Therefore, we can write two equations based on the given information.
For Monday68+$34=Total Cost68 + \$34 = Total\, CostFor Thursday143+$31=Total Cost143 + \$31 = Total\, Cost

STEP 3

Since the total cost for each day is the same, we can set the two equations equal to each other.
68+$34=143+$3168 + \$34 =143 + \$31

STEP 4

We can solve for $$ by first subtracting $68$ from both sides of the equation.
$34−$31=143−68\$34 - \$31 =143 -68

STEP 5

implify the equation.
$3=75\$3 =75

STEP 6

Finally, solve for $$ by dividing both sides of the equation by75.
=$375 = \frac{\$3}{75}

STEP 7

Calculate the value of $$.
=$375=$0.04 = \frac{\$3}{75} = \$0.04The per-minute cost of parking at the mall is $0.04.

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