Ralphie's dad has a nutritionist who instructed him to consume less than 2,126 calories per day. He has already eaten 1,586 calories today and wants to eat some fruit bars that are 66 calories each. Which of the following inequalities could be used to solve for x, the number of fruit bars Ralphie's dad can eat without going over his calorie allotment?

Respuesta :

Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.

Step-by-step explanation:

Given,

Per day calorie intake limit = less than 2126 calories

Calories already taken = 1586 calories

Calories in each fruit bar = 66 calories

Let,

x be the number of fruit bars that Ralphie's dad can consume.

Calories in each fruit bar*Number of fruit bars + calories already taken < per day limit

[tex]66x+1586<2126\\66x<2126-1586\\66x<540[/tex]

Dividing both sides by 66

[tex]\frac{66x}{66}<\frac{540}{66}\\x<8.1[/tex]

Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.

Keywords: inequality, division

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