Respuesta :
The price for one dozen roses is $ 35 The price for one bunch of sunflowers is $ 20
Solution:
Given, The little Flower Truck has a flower shop that has weekly specials.
Let the cost for one dozen rose be “m” and price for one bunch of sunflowers be “n”
Yesterday she sold 6 dozen roses and 4 bunches of sunflowers for a total of $290.00
Then, 6m + 4n = 290
⇒ 3m + 2n = 145 ⇒ (1)
Today she sold 10 dozen roses and 13 bunches of sunflowers for a total of $610.
Then, 10m + 13n = 610 ⇒ (2)
Let us find the price for one dozen roses and the price for one bunch of sunflowers.
Now, multiply (1) with 10 and (2) with 3, so that, coefficients of m will be equal and we can cancel it while solving for easy calculation.
⇒ 30m + 20n = 1450
⇒ 30m + 39n = 1830
( - ) -----------------------------
0m – 19n = - 380
19n = 380
n = 20
Now, substitute n value in (1) ⇒ 3m + 2(20) = 145
⇒ 3m + 40 = 145
⇒ 3m = 145 – 40
⇒ 3m = 105
⇒ m = 35
Hence, the cost of one dozen roses is $ 35 and cost of bunch of sun flowers is $ 20
