Question

a cafe sells peach smoothies and berry smoothies. the cafe makes a profit of $2.25 for each peach smoothie that is sold and a profit of $2 for each berry smoothie that is sold. the owner of the cafe wants to make a total profit of more than $90 per day from the sales of smoothies.

Answer 1

To make a total profit of more than $90 per day from the sales of smoothies, the cafe needs to sell at least 40 peach smoothies and 45 berry smoothies.

Step-by-step explanation:

The cafe needs to calculate how many peach smoothies and berry smoothies it needs to sell in order to make a total profit of more than $90 per day.

To calculate the number of peach smoothies, divide the desired profit by the profit per smoothie. So, $90 divided by $2.25 equals 40 peach smoothies. To calculate the number of berry smoothies, divide the desired profit by the profit per smoothie. So, $90 divided by $2 equals 45 berry smoothies. Therefore, the cafe needs to sell at least 40 peach smoothies and 45 berry smoothies to make a total profit of more than $90 per day.

Answer 2

The student's question involves setting up an inequality to represent the profits from selling peach and berry smoothies and solving to find the number of each needed to exceed $90 in profit.

Step-by-step explanation:

The student's question relates to a business mathematics problem where a cafe sells two types of smoothies with different profits and wishes to make a total profit of more than $90 per day. To determine how many of each smoothie the cafe needs to sell to exceed $90 in profits, we can set up a system of equations or inequalities with variables representing the number of peach and berry smoothies sold. For example, if we let p be the number of peach smoothies and b be the number berry smoothies, the inequality for the total profit per day would be 2.25p + 2b > 90. This inequality can be solved through various algebraic methods, such as graphing or using the substitution or elimination methods, to find combinations of p and b that satisfy the condition for the desired profit.

To calculate the total profit needed to exceed $90, we can use the inequality: 2.25x + 2y > 90, where x represents the number of peach smoothies sold and y represents the number of berry smoothies sold. The cafe owner should find the combination of peach and berry smoothie sales that satisfies this inequality and helps achieve the desired profit.