1) A supermarket had bags of red grapes for $27.09 for 7. The also had bags of green grapes priced at $14.96 for 4. Which type of grape is most expensive? Worked out on paper please. 2) An ice company charged $3.40 for 4 bags of ice. If a convenience store bought 6 bags of ice, how much would it have cost them? Worked out on paper please. 3) At the baseball stadium the price for popcorn is $15.36 for 6 bags. If you wanted to buy 2 bags of popcorn, how much would it cost? Worked out on paper please.

See explanation

Step-by-step explanation:

1. A supermarket had bags of red grapes for $27.09 for 7. The cost of one red grape will be:

= $27.09/7

= $3.87

The supermarket also had bags of green grapes priced at $14.96 for 4. The cost of one green grapes will be:

= $14.96/4

= $3.74

We can see that the red grape is more expensive.

2. An ice company charged $3.40 for 4 bags of ice. If a convenience store bought 6 bags of ice, how much would it have cost them?

The cost for one bag of ice will be:

= $3.40/4

= $0.85

Since the convenience store bought 6 bags, the cost will be:

= $0.85 × 6

= $5.10

3. At the baseball stadium the price for popcorn is $15.36 for 6 bags. If you wanted to buy 2 bags of popcorn, how much would it cost?

The cost for one popcorn will be:

= $15.36/6

= $2.56

The cost of 2 popcorns will then be:

= $2.56 × 2

= $5.12

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