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22 April, 08:53

carol and chick are counting calories ehile eating lunch at the school cafeteria in one week carol had 8 slices of pizza, 5containers of skim milk and five cups of fruit salad. chick had 5 slices pf pizza, 7 containers of fruit salad, and 7 containers of skim milk. chicks calorie count was 2500 and carols was 3070. if each container of skim milk is 40 calories how many calories did carol get from pizza

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  1. 22 April, 11:28
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    2320 calories

    Step-by-step explanation:

    We are given the following information;

    Carol;

    8 slices of pizza

    5 containers of skim milk

    5 cups of fruit salad

    Chick;

    5 slices pf pizza

    7 containers of skim milk

    7 containers of fruit salad

    We let x denote the calories in each slice of pizza and y the calories in each cup or container of fruit salad. Chicks calorie count can thus be represented by the following expression;

    5x + 7 (40) + 7y

    5x + 7y + 280

    We are also informed that chicks calorie count was 2500 and thus the following equation is formed;

    5x + 7y + 280 = 2500

    5x + 7y = 2220. This will be our first equation

    On the other hand, Carols calorie count can be represented by the following expression;

    8x + 5 (40) + 5y

    8x + 5y + 200

    We are also informed that Carols calorie count was 3070 and thus the following equation is formed;

    8x + 5y + 200 = 3070

    8x + 5y = 2870. This will be our second equation

    Now, we have two sets of equation;

    5x + 7y = 2220

    8x + 5y = 2870

    We solve these simultaneously to determine the values of x and y;

    We multiply the first equation by 8 and the second by 5 in order to eliminate x and solve for y;

    40x + 56y = 17760

    40x + 25y = 14350

    Subtracting the second equation from the first yields;

    31y = 3410

    y = 110

    We substitute this value in the first equation and solve for x;

    5x + 7 (110) = 2220

    5x = 2220 - 770

    5x = 1450

    x = 290

    Therefore, each slice of pizza contains 290 calories. Carol had 8 slices of pizza implying that her total calories count from pizza was;

    8 * 290 = 2320 calories
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