Gerber Product's Gerber Mixed Cereal for Baby contains, in each serving, 60 calories and 11 grams of carbohydrates†. Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories and 21 grams of carbohydrates†. If you want to provide your child with 360 calories and 85 grams of carbohydrates, how many servings of each should you use?

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JeanaShupp JeanaShupp · Answer 1 · 2019-09-12T05:54:35+02:00

Answer: 2 servings of Gerber Mixed Cereal for Baby and 3 servings of Gerber Mango Tropical Fruit Dessert .

Step-by-step explanation:

Let x be the number of servings of Gerber Mixed Cereal for Baby and y be the number of servings of Gerber Mango Tropical Fruit Dessert .

By considering the given information, we have the following two equations:_

[tex]60x+80y=360-----(1)\\\\11x+21y=85------(2)[/tex]

Divide 20 on both the sides on Equation (1) , we get

[tex]3x+4y=18------(3)[/tex]

Multiplying 11 on both the sides in (3), we get ,

[tex]33x+44y=198------(4)[/tex]

Multiplying 3 on both the sides in (2), we get ,

[tex]33x+63y=255------(5)[/tex]

Now, subtract equation (1) from (2), we get

[tex]19y=57\\\\\Rightarrow\ y=\dfrac{57}{19}=3[/tex]

Substitute Y in (3), we get

[tex]3x+4(3)=18\\\\\Rightarrow\ 3x+12=18\\\\\Rightarrow\ 3x=6\\\\\Rightarrow x=2[/tex]

Hence, you should you 2 servings of Gerber Mixed Cereal for Baby and 3 servings of Gerber Mango Tropical Fruit Dessert .