For a school fundraiser, Troy sold 28 bags of popcorn and 40 candy bars and made $282. Jake sold 17 bags of popcorn and 20 candy bars and made $160.50. What was the cost of a bag popcorn?

A. $10.35
B. $6.00
C. $6.27
D. $6.50

Cost of a bag popcorn = $6.5

Step-by-step explanation:

Given:

Number of popcorn bags sold by Troy = 28

Number of candy bar sold by Troy = 40

Number of popcorn bags sold by Jake = 17

Number of candy bar sold by Jake = 20

Amount Troy earn = $282

Amount Jake earn = $160.5

Find:

Cost of a bag popcorn

Computation:

Assume;

Cost of a bag popcorn = a

Cost of a candy bar = b

28a + 40b = 282eq1

17a + 20b = 160.5eq2

eq2 x 2

34a + 40b = 321eq3

eq3 - eq1

6a = 39

a = 6.5

Cost of a bag popcorn = $6.5

answer is 33

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb