Maritza worked at an ice cream parlor selling milkshakes and ice cream cones. Altogether, she sold 149 milkshakes and ice cream cones. The milkshakes sold for $4 and the ice cream cones for $3. The total amount collected was $533. How many milkshakes and ice cream were sold?

86 milkshakes and 63 ice cream were sold

Step-by-step explanation:

Let the amount of milkshake sold be x

Let the amount of ice cream sold be y

If  she sold 149 milkshakes and ice cream cones then;

x+y = 149 ... 1

If the milkshakes sold for $4 and the ice cream cones for $3, with total amount #533 collected then;

4x + 3y = 533 2

Solve both equations simultaneously

x+y = 149 ... 1  * 4

4x + 3y = 533 2 * 1

4x+4y = 596

4x+3y = 533

Subtract

4y-3y = 596-533

y = 63

since x +y = 149

x+63 = 149

x = 149 - 63

x = 86

Hence 86 milkshakes and 63 ice cream were sold

picture below