Question

Kristy bought some rolls of wrapping paper and 2 bags of bows for less then $10. Each roll of wrapping paper and each bag of bows cost $1.50. Which inequality can be used to find w, the number of rolls of wrapping paper Kristy bought?

Answer 1

Answer:

$w < 4 \frac{2}{3}$

Step-by-step explanation:

The inequality symbol for 'less than' is '<'.

Let's relate the cost and the number of each item bought together with an equation.

Total cost

= (number of rolls)(cost of each roll) +(number of bags)(cost per bag of bows)

= w(1.50) +2(1.50)

= 1.5w +3

Now, we can form the inequality.

Since the total cost is less than $10,

1.5w +3< 10

Subtract 3 from both sides:

1.5w < 10 -3

1.5w < 7

Divide both sides by 1.5:

$w < 7 \div \frac{3}{2}$

$w < 7 \times \frac{2}{3}$

$w < \frac{14}{3}$

$\textcolor{red}{w < 4 \frac{2}{3} }$