At a summertime poolside snack bar, 200 ice cream scoops were sold in one day. double scoops were sold for $1.25 each and single scoops were sold for $1 each. if the proceeds from the sale of the cones were $221.75, how many of each kinds of cone were sold? in all, how many scoops of ice cream were sold?

a) 87 double scoops and 113 single scoops.

b) 287 scoops of ice cream.

Step-by-step explanation:

1. You need to make a system of equations, where double scoops are represented by and the single scoops are represented by :

2. You can apply the Elimination Method:

- Multiply the first equation by -1 to cancel the variable from the system. Add both equations:

- Solve for :

- Substitute the value of into one of the original equations and solve for :

3. You can calculate the total number of scoops of ice cream that where sold as below:

4. Substitute values:

scoops of ice cream

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0