<span>Simplifying 8k + 2m = 3m + k Reorder the terms: 8k + 2m = k + 3m Solving 8k + 2m = k + 3m Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 8k + -1k + 2m = k + -1k + 3m Combine like terms: 8k + -1k = 7k 7k + 2m = k + -1k + 3m Combine like terms: k + -1k = 0 7k + 2m = 0 + 3m 7k + 2m = 3m Add '-2m' to each side of the equation. 7k + 2m + -2m = 3m + -2m Combine like terms: 2m + -2m = 0 7k + 0 = 3m + -2m 7k = 3m + -2m Combine like terms: 3m + -2m = 1m 7k = 1m Divide each side by '7'. k = 0.1428571429m Simplifying k = 0.1428571429m</span>

3 0

3 years ago

John sells plain cakes for $8 and decorated cakes for $12. On a particular day, John started with a total of 100 cakes, and sold

qaws [65]

x+ y = 96 → y = 96 - x (1)

And the price per plain cake * the number he sold + price of the decorated cake * the number he sold = total sales

8x + 12y = 800 (2)

Subbing (1) into (2), we have that

8x + 12 (96 - x) = 800 simplify

8x + 1152 - 12x = 800

-4x + 1152 = 800 subtract 1152 from both sides

-4x = -352 divide both sides by -4

x = 88 = the number of plain cakes he sold

And 96 - x = 96 - 88 = 8 = the number of decorated cakes he sold

6 0

4 years ago

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