Problema Solution

Marcos made 15 baskets in a basketball game, some two-pointers and some three-pointers. If Marcos scored 36 points, home many two-pointers and how many three pointers did he make?

Answer provided by our tutors

we will assume that Marcos made two-pointers and three-pointers only


let


x = the number of two-pointers


y = the number of three-pointers


Marcos made 15 baskets in a basketball game, some two-pointers and some three-pointers:


x + y = 15


Marcos scored 36 points:


2x + 3y = 36


by solving the system of equations:


x + y = 15


2x + 3y = 36


we find:


x = 9 two-pointers


y = 6 three-pointers


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Marcos scored 9 two-pointers and 6 three-pointers.