Question #0efd8

1 Answer
Oct 21, 2017

Answer:

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!