during elijahs first basketball game he made 15 baskets and missed 5. during his second game, he missed 1…

during elijahs first basketball game he made 15 baskets and missed 5. during his second game, he missed 1 basket. his shooting was just as accurate in his second game as in his first game. how many baskets did elijah make during his second game? 3 baskets 4 baskets 5 baskets 6 baskets game 1 game 2 baskets made 15 baskets missed 5 1
Answer
Explanation:
Step1: Calculate shooting - accuracy in first game
The accuracy in the first game is the ratio of baskets made to the total number of attempts. The total number of attempts in the first game is (15 + 5=20). The accuracy rate (r_1=\frac{15}{15 + 5}=\frac{15}{20}=\frac{3}{4}).
Step2: Set up an equation for the second - game accuracy
Let the number of baskets made in the second game be (x). The total number of attempts in the second game is (x + 1). Since the accuracy in the second game is the same as in the first game, we have the equation (\frac{x}{x + 1}=\frac{3}{4}).
Step3: Cross - multiply and solve for (x)
Cross - multiplying the equation (\frac{x}{x + 1}=\frac{3}{4}) gives (4x=3(x + 1)). Expanding the right - hand side: (4x=3x+3). Subtracting (3x) from both sides, we get (x = 3).
Answer:
A. 3 baskets