Question

Kim, Tim, and Jim are preparing for a game of snow-sketbakk, a version of basketball that uses snowballs instead of a normal basketball. They need lots of snowballs to play. Tim has made three fewer snowballs than Kim, and Jim has made eight more than twice as many snowballs as Kim. In total, the three friends have made 97 snowballs. How many snowballs did each person make?

a) Kim made 28 snowballs, Tim made 25 snowballs, Jim made 44 snowballs.
b) Kim made 30 snowballs, Tim made 33 snowballs, Jim made 34 snowballs.
c) Kim made 35 snowballs, Tim made 38 snowballs, Jim made 39 snowballs.
d) Kim made 40 snowballs, Tim made 43 snowballs, Jim made 47 snowballs.

Answer 1

Kim made 23 snowballs, Tim made 20 snowballs, and Jim made 54 snowballs.

Step-by-step explanation:

To solve this problem, we can set up a system of equations based on the information given.

Let's say Kim made x snowballs. Tim made three fewer snowballs, so Tim made (x - 3) snowballs. Jim made eight more than twice as many snowballs as Kim, so Jim made (2x + 8) snowballs.

We can now set up an equation: x + (x - 3) + (2x + 8) = 97. Simplifying, we have 4x + 5 = 97. Subtracting 5 from both sides, we get 4x = 92. Finally, dividing both sides by 4, we find that x = 23.

Therefore, Kim made 23 snowballs, Tim made 20 snowballs, and Jim made 54 snowballs. So, the correct answer is d) Kim made 40 snowballs, Tim made 43 snowballs, Jim made 47 snowballs.