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Three people P,Q and R contribute to a fund. provides 3/5 of the total,Q provides 2/3 of the reminder and R provides £8. Determine;
(a)the total of the fund
(b)the contribution of P and Q​


Sagot :

Answer:

a: £60

b: P = £36, Q = £24

Step-by-step explanation:

first find the total fraction contributed by P and Q:

3/5 + 2/3 of the remaining

3/5 = 9/15, the remainder of the fund is 6/15

so to add 2/3 of the remainder, we add 2/3 of 6 which is 4

9/15 + 4/15 = 13/15 so, in total P and Q contribute 13/15

this means that R contributes the rest which is 2/15 and we know he contributes £8, therefore 2/15 = £8 and 1/15 = £4

to find the total of the fund (15/15), we do 4 x 15 to get £60.

to find P's contribution (9/15), we do 4 x 9 to get £36.

to find Q's contribution (6/15), we do 4 x 6 to get £24.

hope this helps :)