College

Lynnette has 24 pairs of sandals. She has 4 times as many sandals as she has boots. The number sentence below can be used to find the number of boots, [tex]b[/tex], she has. How many boots, [tex]b[/tex], does Lynnette have?

[tex]24 \div b = 4[/tex]

A. 20 boots
B. 28 boots
C. 6 boots
D. 96 boots

Answer :

Let [tex]$b$[/tex] be the number of boots. According to the problem, the following equation is given:

[tex]$$
24 \div b = 4
$$[/tex]

This can be rewritten as:

[tex]$$
\frac{24}{b} = 4
$$[/tex]

To solve for [tex]$b$[/tex], multiply both sides of the equation by [tex]$b$[/tex]:

[tex]$$
24 = 4b
$$[/tex]

Now, divide both sides by [tex]$4$[/tex]:

[tex]$$
b = \frac{24}{4} = 6
$$[/tex]

Thus, Lynette has [tex]$\boxed{6}$[/tex] boots.