Answer: 76 roses were sold
Step-by-step explanation:
Let Rose be R, and Tulip be T
From the question, 2 equations were generated:
4T + 8 = R....equation 1
On the cost of Rose and Tulip:
5R + 2T = 414.....equation 2
Substitute equation 1 into 2
5( 4T + 8) + 2T = 414
20T + 40 + 2T = 414
Combine like terms
20T + 2T = 414 - 40
22T = 374
Divide both sides by 22 to get T
T= 374/22
T= 17
now that we have T, substitute T into equation 1 to get R
4 (17) + 8 = R
68 + 8 = 76
R= 76
Check:
76 roses at $5 = $380
17 tulips at $2 = $34
Roses + Tulip = $414
I hope this helps.