Question

Kelly had 34 beads at first. After Nigel gave Kelly some beads, he had 3 times as
many beads as Kelly. Kelly had 130 beads in the end. How many beads did Nigel
have at first?

Answer 1

Answer:

486 beads

Step-by-step explanation:

The information we have:

The equation gives us the information that Kelly started off with 34 beads and ended with 130 beads. It also explains that in the end, Nigel still had three times as many beads as Kelly did.

How to solve the equation:

If Kelly had 130 beads and Nigel had three times that amount, that would mean that Nigel would have 390 beads leftover. If we take the amount Kelly has now and subtract the amount she had before (130 - 34 = ?) we would get the amount that Nigel gave Kelly before she had 130 beads (96 beads). With this knowledge, we know that Nigel gave Kelly 96 beads and that he now has 390 beads. All we need to do now is add these two sums together to find that Nigel originally had 486 beads.

Checking the work:

You can also double check your work by subtracting 96 from 486 and then diving the sum Kelly had from the sum Nigel had in the end.

486 - 96 = 390

390/130 = 3

Nigel had three times the amount of beads that Kelly had in the end.