## 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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6 months 2021-08-14T05:33:40+00:00 2 Answers 4 views 0

## Answers ( )

1. 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

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