Question

A store sells two different packages of glue sticks as described below. Package A : 18 glue sticks. Package B : 12 glue sticks.

Answer 1

The complete question is:

A store sells two different packages of glue sticks as described below.

Package A: 18 glue sticks

Package B: 12 glue sticks

Write an equation for Package A and an equation for Package B that represent the total number of glue sticks, g, in p packages.

Package A: _____________

Package B: _____________

Answer:

• Package A:   g = 18p    

• Package B:   g = 12p    

Explanation:

Part A:

Since each package A contains a constant number of glue sticks, 18, you can create a table that helps you to visualize the relationship between the number of packages and the number of gule sticks:

Number of packages (p):        1       2       3         4       5        p

Number of glue sticks (g):      18      36    54      72     90       18p

Thus, g = 18p

Part B:

Since each package B contains a constant number of glue sticks, 12, you can write a direct proportion equation:

$\frac{1}{12}=\frac{p}{g}$

From that you can solve for g (the number of glue sticks) in terms of p (the number of packages):

$\frac{1}{12}=\frac{p}{g}\\ \\ 1\times g=12\times p\\ \\ g=12p$