Question

Ivy's basketball team scored 38 point in the first game of the season. In the next 2 games they scored a total of 77 points. For every point scored, $0.50 is put into a jar to use for a party after the season. Ivy's says that you can use the expression 38+77x0.5 to find how much money is in the jar after the third game. Is she capprect? Explain

Answer 1

The expression given by Ivy is WRONG.

The correct expression is $(19 + 77 x (0.5) )

The total mount in jar = $57.5

Explanation:

Here, for each point scored, $0.5 is put in the jar.

Now, the point scored in the first game = 38 points

So, the amount put in the jar for 38 points = 38 x ( amount for 1 point)

= 38 x ( $0.5) = $19

So, after first game, jar has $19.

Now, the point scored in the(2 +3) game = 77 points

So, the amount put in the jar for 77 points = 77 x ( amount for 1 point)

= 77 x ( $0.5) = 77 x (0.5)

So, after second and third game, jar has $ (77 x (0.5)).

Now, total amount in jar

= Amount after first game + Amount after second and third game

= 19 + 77 x (0.5)

But , here THE TOTAL AMOUNT given by Ivy = 38+(77 x 0.5)

And 19 + 77 x (0.5) ≠ 38+(77 x 0.5)

Hence, the expression given by Ivy is WRONG.

The correct expression is $(19 + 77 x (0.5) )

And, the total mount in jar = 19 + 38.5 = $57.5