Chapter 11.6, Problem 92SR

To determine

To find: The maximum number of toppings

Answer to Problem 92SR

The maximum number of toppings is $3$

Explanation of Solution

Given:

Pizza cost is $\$7.50$ plus $\$1.25$ per topping

Money in hand is $\$13$

Calculation:

Let $x$ is the no of topping at $\$1.25$ each, cost of pizza is $\$7.50$ and tip is $15\%$ of the total cost

Total cost $=1.15\left(7.5+1.25x\right)=8.63+1.44x$

Amount available to be spent $=\$13$

Hence the total cost should be equal to or less than $13$

  $8.63+1.44x\le 13$

Subtract $8.63$ from both the sides

  $8.63+1.44x-8.63\le 13-8.63$

Divide both sides by $1.44$

  $1.44x\le 4.37$

  $x\le 3.03$

  $3\le 3.03$

Topping cannot be in fraction

Maximum number of toppings is $3$

Conclusion:

Hence, the maximum number of toppings is $3$