Answer :
Answer:
[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]
Step-by-step explanation:
Sunday ice cream :
Ice cream scoops = 3
Strawberries = 4
Milkshake :
Ice cream scoops = 2
Strawberries = 6
Ramses wants to make sundaes and milkshakes with at most 25 ice-cream scoops and 37 strawberries.
Let x be the no. sundaes and y be the no. of milkshakes
So, Equations are :
[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]
Now we are supposed to graph the solution
[tex]3x+2y\leq 25[/tex] --- Blue
[tex]4x+6y \leq 37[/tex] --- Green
Refer the attached figure
Final answer:
The question is a mathematics problem involving the calculation of the maximum number of sundaes and milkshakes that can be made under resource constraints, using combinations to solve the problem.
Explanation:
The student's question involves creating a system of inequalities to calculate the maximum number of sundaes (S) and milkshakes (M) that can be made given a constraint on the resources (ice-cream scoops and strawberries).
To find the number of different combinations of ice cream flavors without repetition, we can use the concept of combinations without repetition. For example, with five flavors (CC, M, S, DC, B) and wanting three different scoops, the number of different combinations can be represented as 5 choose 3.
In contrast, when considering the number of different combinations with repetition allowed, we're dealing with combinations with repetition, where one or more flavors can be chosen more than once for the scoops.
