Mixing two types of candy, the price of which was $2 and $4 per pound, Ella got a 10-lb mix of candy that cost $2.90 per pound. How many pounds of each kind of candy were used for the mix?

Answer 1

Let x be the number of pounds of the $2 candy and y be the number of pounds of the $4 candy. Then we have:

x + y = 10 (the total weight of the mix is 10 pounds)
2x + 4y = 29 (the total cost of the mix is $2.90 per pound)

Solving the first equation for x, we get:

x = 10 - y

Substituting into the second equation, we get:

2(10 - y) + 4y = 29

Expanding and simplifying, we get:

20 - 2y + 4y = 29

2y = 9

y = 4.5

Substituting back into the equation x + y = 10, we get:

x = 10 - y = 5.5

Therefore, Ella used 5.5 pounds of the $2 candy and 4.5 pounds of the $4 candy for the mix.

Answer 2

Nadya bakes 20 cookies every half hour. Vasil sells 38 cookies per hour. How many cookies are left unsold if the work from 6:00am until noon?

Answer 3

There are a total of 6 - 6 = 0 hours from 6:00am until noon.

In one hour, Nadya can bake:

20 cookies/half hour * 2 half hours/hour = 40 cookies/hour

In one hour, Vasil can sell:

38 cookies/hour

Therefore, in one hour, the number of cookies left unsold is:

40 cookies/hour - 38 cookies/hour = 2 cookies/hour

Since there are 0 hours from 6:00am until noon, the total number of cookies left unsold is:

0 hours * 2 cookies/hour = 0 cookies

Therefore, there are no cookies left unsold if Nadya bakes 20 cookies every half hour and Vasil sells 38 cookies per hour from 6:00am until noon.