Caren is making rice and beans. she can spend no more than $10
on the ingredients.

which situation is represented by the inequality 10≥4.99+0.74x
?

Hello there!

we know that caren cant spend more than $10 in ingredients, where the ingredients are rice and beans.

the situation given is: 10≥4.99+0.74x

So 10 is the max she can spend, she already spended 4.99 in one of the ingredients, and she want to know the number of portions, x, of the other ingredient that she can buy.

if we pass the 4.99 at the rigth side, we got:

10 - 4.99 ≥ 0.74*x

5.01 ≥ 0.73*x

now, we divide in both sides by 0.74

5.01/0.74 ≥ x

6.77 ≥ x

so Caren could buy, at max, 6 portions of the second ingredient, where i rounded down, because we need a whole number, and i cant round up because in that case she would spend more than $10.