Nathaniel and Grant go to the movie theater and purchase refreshments for their friends . Nathaniel bought 4 candies and 10 bags of popcorn for a total of 99.50 dollars. Grant bought 3 candies and 5 bags of popcorn for a total of 56.50 dollars. You may use decimals for this problem.

A candy costs $6.75 and a bag of popcorn costs $7.25

Step-by-step explanation:

Let the cost of one 1 candy=$x

Let the cost of one bag of popcorn=$y

Now, Total Cost Per Item=Number of Item Bought X Price Per Unit Item.

If Nathaniel bought 4 candies and 10 bags of popcorn for a total of 99.50 dollars.

4x+10y=99.50

Grant bought 3 candies and 5 bags of popcorn for a total of 56.50 dollars.

3x+5y=56.50

Solving the two equations simultaneously

4x+10y=99.50    (I)

3x+5y=56.50     (II)

Multiply Equation (I) by 3 and Equation (II) by 4 to eliminate x

12x+30y=298.5

12x+20y=226

Subtracting

10y=72.5

y=$7.25

Now, from (II)

3x+5y=56.50

3x+5(7.25)=56.50

3x+36.25=56.50

3x=20.25

x=20.25/3=$6.75

Therefore a candy costs $6.75 and a bag of popcorn costs $7.25

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

c

step-by-step explanation:

it would be see because your formula is f(x)=6x, so 6 times 1 is 6 and you go on and the best answer is c.