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Kaiden has sold 10 bunches of roses and 12 violets for a total of $380. Grayson has sold 6 bunches of roses and 8 violets for $244.
What is the cost of a bunch of roses? What is the cost of a bunch of violets? How much would it cost Mac to purchase
2 bunches of roses and 3 violets?
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The condition gives you this system of 2 equations in 2 unknowns
10x + 12y = 380 (1)
6x + 8y = 244 (2)
I will solve it by the Elimination method. For it, multiply eq(1) by 3 (both sides). Multiply eq(2) by 5. You will get
30x + 36y = 1140 (3)
30x + 40y = 1220 (4)
Next subtract eq(3) from eq(4). The terms "30x" will cancel each other, and you will get a single equation for "y":
4y = 1220 - 1140 = 80 ====> y = = 20.
Then from eq(1) 10x = 380 - 12*20 = 140 ====> x = = 14.
Answer. Bunch of roses costs $14. Each violet costs $20.
2 bunches of roses and 3 violets cost 2*$14 + 3*$20 = $88.