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Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Oscar is going to send some flowers to his wife. Greenwood Florist charges $1 per rose, plus $24 for the vase. Eric's Flowers, in contrast, charges $3 per rose and $14 for the vase. If Oscar orders the bouquet with a certain number of roses, the cost will be the same with either flower shop. How many roses would there be? What would the total cost be?

 Mar 2, 2023
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First, set up the system: 1x + 24 = y, 3x + 14 = y. Substitute 3x+14 for y in the first equation and you get 1x+24 = 3x+14. From here, just solve the equation. You get that 2x = 10, or x = 5. There will be 5 roses. The total cost can be found by plugging in 5 for x, and you get that the total cost is $29.

Hope this helps!
 Mar 3, 2023

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