Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

34. kelly spent $45 more on boots than she did on a pair of jeans. she …

Question

  1. kelly spent $45 more on boots than she did on a pair of jeans. she spent $79.50 on the boots. how much did she spend on the jeans?
  2. the product of two integers is 72. if one integer is 18, what is the other integer?

Explanation:

Question 34

Step1: Define variable for jeans cost

Let \( j \) be the cost of jeans (in dollars).

Step2: Set up equation from problem

Boots cost is \( \$79.50 \), and boots cost \( \$45 \) more than jeans. So, \( j + 45 = 79.50 \).

Step3: Solve for \( j \)

Subtract 45 from both sides: \( j = 79.50 - 45 \).
Calculate: \( j = 34.50 \).

Step1: Recall product formula

Let \( x \) be the other integer. Product of two integers: \( 18 \times x = 72 \).

Step2: Solve for \( x \)

Divide both sides by 18: \( x = \frac{72}{18} \).
Calculate: \( x = 4 \).

Answer:

\$34.50

Question 35