Question

Question #0efd8

Answer 1

They have 56 sweets altogether.

Explanation:

Let :

n= the number of sweets Nurul has
s= the number of sweets Sam has
r= the number of sweets Rebecca has

From the problem, we can say the `n=s+8` since it says the Nurul has 8 more sweets than Sam.

Similarly, we can also say the `n=5/3s` since the ratio between the number of sweets Nurul has compared to Sam is a 5:3 ratio.

Substitute and solve for s:

`5/3s=s+8`

`5/3s=3/3s+8`

`5/3s-3/3s=3/3s+8-3/3s`

`2/3s=8`

`2s=24`

`s=12`

Now use `n=s+8` to find the number of sweets Nurul has:

`n=s+8`
`n=12+8`
`n=20`

Finally, find the number of sweets Rebecca has. Rebecca has a 6:3 ratio in sweets compared to Sam. 6:3 simplified is 2:1 so Rebcca has 2 times as many sweets as Sam.

`r=2s`
`r=2*12`
`r=24`

So, the total number of sweets is all the sweets of every person combined or in other words:

Total number of sweets= n+s+r

`12+20+24=56`

They have 56 sweets altogether. I hope this helps!