Answer :
Answer: 76 roses were sold.
Step-by-step explanation:
Let x represent the number of tulips that the math club sold.
Let y represent the number of roses that the math club sold.
The number of roses sold was 8 more than 4 times the number of tulips sold. This means that
y = 4x + 8
Tulips were sold for $2 each and roses for $5 each. The club made $414.00. This means that
2x + 5y = 414- - - - - - - - - 1
Substituting y = 4x + 8 into equation 1, it becomes
2x + 5(4x + 8) = 414
2x + 20x + 40 = 414
22x = 414 - 40
22x = 374
x = 374/22
x = 17
y = 4x + 8 = 4 × 17 + 8
y = 76
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.