SOLUTION: sara and simone together have 24 sweets, Sara and Josie together have 32 sweets. altogether the 3 girls have 42 sweets. how many sweets does Sara, Josie and Simone each have? How m

Question 818624: sara and simone together have 24 sweets, Sara and Josie together have 32 sweets. altogether the 3 girls have 42 sweets. how many sweets does Sara, Josie and Simone each have? How many sweets must Josie give to Simone if they are all to have the same number of sweets.
I have tried to answer: Sara has 14, Simone as 10 and Josie has 18 sweets and Josie should give 4 sweets to Simone.
But I don't know how to work out such problems using some formula
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
sara and simone together have 24 sweets, Sara and Josie together have 32 sweets. altogether the 3 girls have 42 sweets. how many sweets does Sara, Josie and Simone each have? How many sweets must Josie give to Simone if they are all to have the same number of sweets.
--------
Equations:
a + i = 24
a + j = 32
a + i + j = 42
----------------------
Substitute for "i" and for "j" and solve for "a":
a + 24-a + 32-a = 42
-a + 56 = 42
-a = -14
a = 14 (# of sweets Sara has)
----------------------
a+i = 24
14+i = 24
i = 10 (# of sweets Simione has)
--------
a + j = 32
14 + j = 32
j = 18 (# of sweets Josie has)
=================================
Cheers,
Stan H.
==================

I have tried to answer: Sara has 14, Simone as 10 and Josie has 18 sweets and Josie should give 4 sweets to Simone.
Comment:: You were correct.
===================================

RELATED QUESTIONS
Tim and Ron have some sweets each. If Tim eat 8 has of his sweets, the ratio of the... (answered by Boreal)

mark and linda had 90 sweets altogether. after mark ate 1/3 of his sweets and linda ate... (answered by stanbon)

Alex, Bernard and Cindy had a total of 840 sweets. The ratio of the number of sweets... (answered by ikleyn)

Hi Gary and Dave had some sweets. After Gary gave 5/7 of his sweets he had 2/3 as many... (answered by josgarithmetic,ikleyn)

Andy, Bernard and Cassandra shared a number of sweets in the ratio 3:7:5. Andy gave... (answered by greenestamps)

Andrew has 6 sweets. Mary has X sweets and Jim has twice as many as Andrew. Together... (answered by smarts100%)

Hi 1/2 of the sweets in box a were equal to 3/8 of the sweets in box b. 240 sweets from (answered by richwmiller)

Hi Ali and baby have some great sweets. If ali gives baba 3/8 of his sweets the ratio of (answered by mananth,josgarithmetic,math_tutor2020,greenestamps)

Hi If A gave 22 sweets to D she would have 4 times as many sweets as D . If D gave 18... (answered by ankor@dixie-net.com)