SOLUTION: Hi Mandy and jack had some sweets in the ratio of 5:7.after mandy gave jack some sweets the ratio that mandy had to jack was 3:21. If jack had 168 sweets at first how many sweets

Question 1105738: Hi
Mandy and jack had some sweets in the ratio of 5:7.after mandy gave jack some sweets the ratio that mandy had to jack was 3:21. If jack had 168 sweets at first how many sweets should he returne to mandy so that both have an equal number of sweets.
thanks
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Mandy and jack had some sweets in the ratio of 5:7.
after mandy gave jack some sweets the ratio that mandy had to jack was 3:21.
If jack had 168 sweets at first how many sweets should he returne to mandy so that both have an equal number of sweets.
:
let x = the 1st multiplier
then
5x = original number of sweets that M had
and
7x = original number that J had
Given that J' number is 168, we can find the multiplier
7x = 168
x = 168/7
x = 24
therefore
5 * 24 = 120 sweets is the original number M had
and we know that 168 + 120 = 288 sweets altogether
:
let y = the 2nd multiplier
3y + 21y = 288
24y = 288
y = 288/24
y = 12
therefore
3*12 = 36 sweets M had after giving some to J
and
21*12 = 252 sweets J had after receiving some from M
"how many sweets should he returned to mandy so that both have an equal number of sweets.
let s = number to be transferred to accomplish this
36 + s = 252 - s
s + s = 252 - 36
2s = 216
s = 216/2
s = 108 sweets
:
RELATED QUESTIONS
Jake, Mandy and Ann had 360 sweets in the ratio 4:3:5 respectively. Jake gave 1/3 of his... (answered by josgarithmetic,math_tutor2020)

Hi Jack and ayden had some stamps at first. After Jack gave ayden 60 stamps both had the (answered by greenestamps)

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)

Hi Bill and Ben had some sweets. After giving away 5/7 of his sweets, Bill had 2/3 as (answered by VFBundy)

Jane had some sweets and chocolates, if Jane gives 24 sweets away, the number of sweets... (answered by Edwin McCravy,MathTherapy)

Jack and Miya had some cards.In a game,Jack lost 1/10 of his card to Miya. After Jack... (answered by ankor@dixie-net.com)

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

The ratio of Jack to Chris's money was 12 : 5 at first. After Jack saved another $340 and (answered by ankor@dixie-net.com)