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## Olivia is a high school basketball player. How many points would Olivia score in a game if she made 6 free throws (worth one point each) and

Question

Olivia is a high school basketball player. How many points would Olivia score in a game if she made 6 free throws (worth one point each) and 4 two point shots? How many points would Olivia score in a game if she made xx free throws and yy two point shots?

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Mathematics
6 months
2021-08-14T05:33:40+00:00
2021-08-14T05:33:40+00:00 2 Answers
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## Answers ( )

She made 4 two-point shots.

Explanation:

Let’s call the number of two-point shots she score

t

and the number of free throws

f

.

Because we know she score 9 times we can write an equation:

t

+

f

=

9

if we solve for

f

we get:

t

+

f

−

t

=

9

−

t

f

=

9

−

t

We also know the total points score from these 9 shots was 13 and therefore we can write:

(

2

×

t

)

+

(

1

×

f

)

=

13

From the first equation we can substitute

9

−

t

for

f

in the second equation and then solve for

t

, the number of two-point shots.

(

2

×

t

)

+

(

1

×

(

9

−

t

)

)

=

13

2

t

+

9

−

t

=

13

t

+

9

=

13

t

+

9

−

9

=

13

−

9

t

=

4

So she would have 11points than. Reason: Because 6 points is 1 point each and two points shots added another point. 6+5=111