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grandymaker [24]
3 years ago
11

The basketball team scored 89 points in just two- and and three baskets. The number of two points baskets was 27 more than the n

umber of three point baskets. How many two point and three pointers did the team make?
Mathematics
1 answer:
kvv77 [185]3 years ago
3 0

Answer:

The team made 27 two pointers and 7 three pointers.

Step-by-step explanation:

We can solve this question by a system of equations.

I am going to say that:

x is the number of two point baskets.

y is the number of three point baskets.

The team scored 89 points

This means that 2x + 3y = 89

The number of two points baskets was 27 more than the number of three point baskets.

This means that x = 27 + y

So

2x + 3y = 89

2(27 + y) + 3y = 89

54 + 2y + 3y = 89

5y = 35

y = \frac{35}{5}

y = 7

x = 27 + y = 27 + 7 = 34

The team made 27 two pointers and 7 three pointers.

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