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Mathematics 16 Online
OpenStudy (anonymous):

can anyone help me plse

OpenStudy (anonymous):

basically add 105 and 45 because it shows you how much they got in total together and since the ratio is 5:11 the total is 16 so 150/16 is 9.375

OpenStudy (anonymous):

@AkashdeepDeb

OpenStudy (debbieg):

Set up equations for all the relationships you know. E.g., for the ratio of the incomes:\[\frac{ I _{J} }{ I _{M} }=\frac{ 5 }{11 }\] Now do a similar one for the expenditure ratio. You also know:\[ I _{J}- E _{J}=45\] Now do a similar one for Mary. You now have 4 equations in 4 unknowns, which is solvable with a bit of plug & chug. The individual income-expenditure equations can be easily solved for one of the variables, then plug it back into one of the ratio equations.

OpenStudy (akashdeepdeb):

Let both their incomes be: 5x, 11x Expenditures: 7y, 15y respectively! So you'd have 2 equations 5x-7y=45 11x-15y=105 Solve them and get their expenditures!! Getting me? :)

OpenStudy (akashdeepdeb):

Ratio gives the ORIGINAL VALUE when multiplied with a COMMON FACTOR For incomes common = x for expenditures common = y Understood? :D

OpenStudy (debbieg):

^^^yeah that's slicker than mine. :) same idea but computationally easier.

OpenStudy (akashdeepdeb):

:)

OpenStudy (anonymous):

@AkashdeepDeb thanks you

OpenStudy (akashdeepdeb):

:)

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