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18. at a particular restaurant, each slider has 350 calories each mozza…

Question

  1. at a particular restaurant, each slider has 350 calories each mozzarella stick has 80 calories. a combination meal with mozzarella sticks and sliders is shown to have 1340 total calories and 4 times as many mozzarella sticks as there are sliders. determine the number of sliders in the combination meal and the number of mozzarella sticks in the combination meal.

Explanation:

Step1: Define variables

Let $s$ = number of sliders, $m$ = number of mozzarella sticks.

Step2: Set up equations

From calorie total: $350s + 80m = 1340$
From quantity ratio: $m = 4s$

Step3: Substitute $m$ into calorie equation

$350s + 80(4s) = 1340$
$350s + 320s = 1340$

Step4: Solve for $s$

$670s = 1340$
$s = \frac{1340}{670} = 2$

Step5: Solve for $m$

$m = 4(2) = 8$

Answer:

Number of sliders: 2; Number of mozzarella sticks: 8