Problema Solution

Anya makes 14 baskets during her game. Some of the baskets were 2 pointers and others were 3 pointers. In total, she scored 30 points. Write and solve a system of equations to find how many 2 point and 3 point baskets she made.

Answer provided by our tutors

let


x = the number of 2 pointers

y = the number of 3 pointers


Anya makes 14 baskets during her game


x + y = 14


tn total, she scored 30 points


2x + 3y = 30


the system of equation that we need to solve is


x + y = 14

2x + 3y = 30


by solving we find


x = 12 baskets 2 pointers


y = 2 baskets 3 pointers


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Anya made 12 two pointers and 2 three pointers.