Question

1. olivia purchases gifts for her mom and grandma for mother’s day. the first is a pair of sunglasses for $16.35 and the second is a bracelet. her total is $39.75. how much did she spend on the bracelet? equation:

solution:

1. the cost of a meal is split evenly between alania and her two friends. they determine that each person owes $14.68. how much was the entire cost of the meal? equation:

solution:
d. samuel is six inches taller than his brother elijah. if samuel is 48 inches tall, how tall is elijah? equation:
solution:

Explanation:

Problem 7

Step1: Define variable for bracelet cost

Let $x$ = cost of the bracelet.

Step2: Set up total cost equation

$16.35 + x = 39.75$

Step3: Solve for $x$

$x = 39.75 - 16.35$
$x = 23.40$

Step1: Define total meal cost variable

Let $C$ = total cost of the meal.

Step2: Set up split cost equation

$\frac{C}{3} = 14.68$

Step3: Solve for $C$

$C = 14.68 \times 3$
$C = 44.04$

Step1: Define Elijah's height variable

Let $h$ = Elijah's height (in inches).

Step2: Set up height relationship equation

$h + 6 = 48$

Step3: Solve for $h$

$h = 48 - 6$
$h = 42$

Answer:

The cost of the bracelet is $\$23.40$

---

Problem 8