Shona had 40% more green beads than white beads. She bought 60% more green beads to make some necklaces. She used up 25% of the green beads. In the end, she had 340 more green beads than white beads. How many beads did Shona have in the end?

Let's break down the problem step by step:

1. Let's assume the number of white beads Shona initially had is W. According to the problem, she had 40% more green beads than white beads, so the number of green beads she initially had is 1.4W.

2. She bought 60% more green beads, which means she added 0.6 * 1.4W = 0.84W green beads. So, the total number of green beads she had after buying more is 1.4W + 0.84W = 2.24W.

3. She used up 25% of the green beads, which means she used 0.25 * 2.24W = 0.56W green beads. So, the number of green beads left is 2.24W - 0.56W = 1.68W.

4. According to the problem, in the end, she had 340 more green beads than white beads. So, we can set up the equation 1.68W = W + 340.

5. Solving this equation for W, we get W = 340 / 0.68 = 500. So, Shona initially had 500 white beads.

6. The number of green beads she had in the end is 1.68W = 1.68 * 500 = 840.

7. So, the total number of beads Shona had in the end is W + the number of green beads = 500 + 840 = 1340.