(10 points) Chip made his eggnog recipe which was 12% sugar, but it was not sweet enough for Dale. Dale made his recipe which was 20% sugar, but it was too sweet for Chip. How much of each eggnog do they need to mix to get 80 oz. of eggnog which has15% sugar concentration?

Respuesta :

50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.

Equation

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the amount of 12% sugar and y represent the amount of 20% sugar need to produce 80 oz. of 15% sugar. Hence:

x + y = 80   (1)

Also:

0.12x + 0.2y = 0.15(80)   (2)

From both equations:

x = 50, y = 30

50 oz. of 12% sugar and 30 oz. of 20% sugar is needed to produce 80 oz. of 15% sugar.

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