the little flower truck has a flower shop that has weekly specials. this week, a dozen roses are on
sale and a bunch of sunflowers are on sale.
of sunflowers are on sale. yesterday she sold 6 dozen roses and 4 bunches of
sunflowers for a total of $290.00. today she sold
for a total of $290.00. today she sold 10 dozen roses and 13 bunches of sunflowers for a
610. find the price for one dozen roses. find the price for one bunch of sunflowers.

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

step-by-step explanation:

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.