Question

Ms. Kim had 2,356 beads and Mr. White had 1,176 beads at first. After they each used an equal number of beads, Ms. Kim had 3 times as many beads left as Mr. White. How many beads did each of them use?

Answer 1

There is no solution to the equation.

Step-by-step explanation:

To solve this problem, we can set up an equation based on the given information. Let x be the number of beads used by both Ms. Kim and Mr. White. After they each used an equal number of beads, Ms. Kim had 3 times as many beads left as Mr. White. This means that Ms. Kim had 2356 - x beads left and Mr. White had 1176 - x beads left. We can set up the equation: 2356 - x = 3(1176 - x). Solving this equation will give us the number of beads used.

Expanding the equation, we have: 2356 - x = 3528 - 3x. Rearranging the terms, we have: 2x - 3x = 3528 - 2356. Simplifying, we get: -x = 1172. Multiplying both sides of the equation by -1, we have: x = -1172. However, a negative number of beads used doesn't make sense in this context, so we can disregard this solution. Therefore, there is no solution to the equation.