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16 lbs of brand M cinnamon costing $17/lb was made by combining Indonesian cinnamon which costs $19/lb with Thai cinnamon which costs $11/lb. Find out how much of each type of cinnamon was used to make the Brand M blend. (Need it done algebraically)

Respuesta :

If x=weight in lb of Indonesian cinnamon and y=that of Thai cinnamon
x+y=16 (combined weight), so y=16-x;
19x+11y=16×17 (combined price);
19x+11(16-x)=272;
19x+176-11x=272;
8x=96, so x=12 and y=16-12=4.
12lb of Indonesian cinnamon and 4lb of Thai cinnamon.

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