Question

Jimmy has $\$29$. He went to restaurant and found out that the price of 1 pizza is $\$13$ and one burger is $\$3$. how many pizza he can afford to buy if he bought one burger?

• A. 2
• B. 3
• C. 1
• D. 4

Answer 1

The correct option is A 2

Let the number of pizzas bought be $x$.
Given,
Total money $=\$29$
Price of 1 pizza $=\$13$
Price of $x$ number of pizzas $=\$13\times x=13x$
Price of 1 burger $=\$3$
$\Rightarrow$Price of $x$ number of pizzas + Price of 1 burger $\le$ Total money
$\Rightarrow 13x+3\le 29$

Subtract 3 from both the sides of inequality
$\Rightarrow 13x+3-3\le 29-3$
$\Rightarrow 13x\le 26$

Divide by 13 both the sides of the inequality
$\Rightarrow \frac{13x}{13}\le \frac{26}{13}$
$\Rightarrow x\le 2$

It can be represented on the numberline as:
A closed circle at 2 and the red line goes to the right, indicating that $x$ is less than or equal to 2.


Hence, the maximum number of pizzas bought is 2.