The math club sold roses and tulips this year for Valentine's day. The number of roses sold was 8 more and 4 times the number of tulips sold. Tulips were sold for $2 each and roses for $5 each. The club made $414.00. How many roses were sold?

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

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 = Requation 1

On the cost of Rose and Tulip:

5R + 2T = 414equation 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.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.