Question

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ifede can use a limited number of spells to defeat trolls and goblins. it takes the same number of spells to defeat each troll, and it takes 3 spells to defeat each goblin.
let t represent the number of trolls and g represent the number of goblins that ifede can defeat without running out of spells.
5t + 3g ≤ 85
according to the inequality, how many spells does it take to defeat each troll, and what is the maximum number of spells that ifede can use?
it takes □ spells to defeat each troll, and ifede can use a maximum of □ spells.
can ifede defeat 7 trolls and 15 goblins without running out of spells?
choose 1 answer:
a yes
b no

Explanation:

Step1: Determine the inequality

We know the inequality is \(5T + 3G\leq85\), where \(T = 7\) (number of trolls) and \(G = 15\) (number of goblins).

Step2: Substitute the values

Substitute \(T = 7\) and \(G = 15\) into the left - hand side of the inequality:

$$
LATEXBLOCK0
$$

Step3: Compare with the limit

We compare \(80\) with \(85\). Since \(80\leq85\), Ifede can defeat 7 trolls and 15 goblins without running out of spells.

Answer:

A. Yes