Question

then solve the equation to find the number of acres in a square mile.
acres per settler = \frac{acres in a square mile}{number of settlers sharing a square mile}
in exercises 43–46, tell what operation you would use to write an equation for the problem. explain your choice, then write and solve an equation.

1. driving range you and three friends share the cost of hitting a bucket of golf balls at a driving range. you each pay $1.50. what is the cost of hitting a bucket of golf balls?
2. elevator you enter an elevator and go up 17 floors to reach the 43rd floor of a building. on what floor did you enter the elevator?
3. making a purchase you give a cashier $60 to pay for a pair of shoes. the cashier gives you $8 in change. find the cost of the shoes.
4. splitting a bill you and two of your friends go out for lunch. you share the cost of the meal evenly. the lunch (including tax and tip) costs $19.50. find each person’s share.

Explanation:

Exercise 43

Step1: Define total cost variable

Let $C$ = total cost of the bucket.

Step2: Set up total cost equation

Total cost = number of people × cost per person
$C = 4 \times 1.50$

Step3: Calculate total cost

$C = 6.00$

Step1: Define starting floor variable

Let $F$ = starting floor.

Step2: Set up starting floor equation

Starting floor + floors climbed = final floor
$F + 17 = 43$

Step3: Solve for starting floor

$F = 43 - 17$
$F = 26$

Step1: Define shoe cost variable

Let $S$ = cost of the shoes.

Step2: Set up shoe cost equation

Amount paid - shoe cost = change received
$60 - S = 8$

Step3: Solve for shoe cost

$S = 60 - 8$
$S = 52$

Answer:

The cost of hitting a bucket of golf balls is $\$6.00$.

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Exercise 44