Final answer:
Josephine made 8 baskets out of 10 shots in the second game.
Step-by-step explanation:
To find out how many of the ten shots in the second game were baskets, we need to first determine how many baskets Josephine made in total in both games. In her first game, Josephine made 12 baskets out of 30 shots, which is a scoring average of 40%. This means that she made 40% of her shots. We can calculate the total number of shots she took in the first game by dividing the 12 baskets by 0.4: 12 / 0.4 = 30 shots.
In the second game, Josephine wanted to raise her scoring average to 50%. To raise her average, she made 10 shots. Let's represent the number of baskets she made in the second game as x. We can set up an equation to solve for x:
(12 + x) / (30 + 10) = 0.5
Now we can solve the equation for x:
12 + x = 0.5 * 40
12 + x = 20
x = 20 - 12
x = 8
Therefore, Josephine made 8 baskets out of the 10 shots in the second game.