College

Jakob buys lunch at school on Mondays, Wednesdays, and Thursdays. He spends [tex]\$3.50[/tex] for each lunch. Which equation can be used to find the number of weeks, [tex]w[/tex], it will take Jakob to spend [tex]\$84[/tex] on lunch?

A. [tex]3.50w = 84[/tex]
B. [tex](3 \times 3.50)w = 84[/tex]
C. [tex]3w = 84[/tex]
D. [tex](3 + 3.50)w = 84[/tex]

Answer :

Jakob buys lunch on three days each week (Monday, Wednesday, and Thursday). Each lunch costs \[tex]$3.50, so his weekly spending is

$[/tex][tex]$
3 \times 3.50 = 10.50 \text{ dollars per week.}
$[/tex][tex]$

If he spends a total of \$[/tex]84, then the number of weeks, [tex]\( w \)[/tex], satisfies the equation

[tex]$$
10.50 \times w = 84.
$$[/tex]

In factor form, this equation can be written as

[tex]$$
(3 \times 3.50)w = 84.
$$[/tex]

Thus, the equation that can be used to find the number of weeks is

[tex]$$
(3 \times 3.50)w = 84.
$$[/tex]

Solving this equation:

1. Divide both sides by 10.50:
[tex]$$
w = \frac{84}{10.50} = 8.
$$[/tex]

So, it will take Jakob 8 weeks to spend \$84 on lunch.

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