Question

A sundae requires 333 ice-cream scoops and 444 strawberries, and a milkshake requires 222 ice-cream scoops and 666 strawberries. Ramses wants to make sundaes and milkshakes with at most 252525 ice-cream scoops and 373737 strawberries. Let SSS denote the number of sundaes he makes and MMM the number of milkshakes he makes.

Answer 1

`3x+2y\leq 25 \\4x+6y \leq 37`

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 :

`3x+2y\leq 25 \\4x+6y \leq 37`

Now we are supposed to graph the solution

`3x+2y\leq 25` --- Blue

`4x+6y \leq 37` --- Green

Refer the attached figure