Suppose that Dave has $200 to spend per week and he buys only magazines and pizza. The price of a pizza is $10 and the price of a magazine is $5. What is the maximum amount of pizza Dave can buy each week?
A) 40
B) 20
C) 200
D) 60

Question

Quizplus · Accepted Answer

Let's assume that Dave buys x pizzas and y magazines.
From the given information, we can create the following equation:
10x + 5y = 200
We need to find the maximum amount of pizza Dave can buy, which means we want to maximize x.
We can rearrange the equation and solve for y:
y = (200 - 10x)/5
y = 40 - 2x
To maximize x, we need to minimize y. The lowest possible value for y is 0, which occurs when x = 20.
If Dave buys 20 pizzas, he will spend $200. Any additional pizzas will cost more than $200 and leave him with less than $5 to spend on magazines, meaning he won't be able to buy any magazines.
Therefore, the maximum amount of pizza Dave can buy is 20.
Option B is the correct answer.

Suppose That Dave Has $200 to Spend Per Week and He