Question

Write and solve an inequality to find the number of calories allowed per meal.

Answer 1

Step-by-step explanation

The question wants us to determine the inequality that can be used to resolve the number of calories allowed per meal

We are told that the total number of calories has to be fewer than 4200 calories

Also, we are told that he already had 1620 calories for dinner

Then, he has 5 more meals

Let x represent the number of calories per meal

Thus, we can have the inequality:

`1620+5x<4200`

To resolve, we will collect like terms

`\begin{gathered} 5x<4200-1620 \\ 5x<2580 \end{gathered}`

Then, we will divide both sides by 5

`\begin{gathered} (5x)/(5)<(2580)/(5) \\ \\ x<516\text{ calories per meal} \end{gathered}`

Thus, the number of calories per meal should be less than 516 calories per meal