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)

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Mathematics

Blossom

15 September, 06:46

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)

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Alejandro Clayton · Answer 1

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.