Question

Justin takes the subway to commute for work, and he spends $\$8$ on lunch every day. In 20 days, he spent a total of $\$210$ on both lunch and subway tickets. If due to money shortage, he decides to spend only $\$85$ for the next ten days for lunch and travel, then how much should he reduce from the usual amount spent on lunch per day?

• A. $\$2.75$
• B. $\$1.5$
• C. $\$2$
• D. $\$2.5$

Answer 1

The correct option is C $\$2$

Let Justin spend $\$x$ on the subway every day.

The amount spent on lunch $=\$8$

Everyday expense $=x+8$

Expense for 20 days $=20(x+8)$

Expense for 20 days $=210$

$20(x+8)=210$

$x+8=\frac{210}{20}$ [dividing by 20 on both the sides]

$x+8=10.5$

$x=10.5-8$ [subtracting 8 from both the sides]

$x=2.5$

Thus, Justin spends $\$2.5$ on the subway every day.

Let Justin spend $\$$yon lunch for the next ten days.
Then,
$10(2.5+y)=85$

$y+2.5=\frac{85}{10}$ [dividing by 10 on both the sides]

$y=8.5-2.5$

$y=6$

Reduced amount $=8-6=\$2$