Can someone help me get two equations out of this problem.

Question

The Math Club sold roses and tulips this year for Valentine's Day. The number of roses sold was 8 more than 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?

Answer 1

Hi Isabel,

 

One equation will be for the relationship between roses and tulip.  The other will be about the money.

 

"The number of roses (R) sold was (=) 8 more than (addition)  4 times (multiplication) the number of tulips (T)". 

 

R = 8 + 4T   that is one of your equations.

 

 

"Tulips (T) were sold for $2 each and roses (R) were sold for $5 each.  The club made $414.00"

 

Since tulips brought in $2 for each one sold, the amount of money the tulips contributed was 2T.

Since roses brought in $5 for each one sold, the amount of money the roses contributed was 5R

And all together they made $414.00 in flowers - so the money from the tulips + the money from the roses had to add up to $414.  That is your second equation:

 

2T + 5R = 414.00

Answer 2

t represents the number of tulips

4t + 8 represents the number of roses

 

2(t) + 5(4t + 8) = 414

 

Can you solve for t and answer?