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Divide 1190 among Joel, Jose, and Joselito such that Joel gets 2/3 of what jose gets, and Jose gets 1/4 of what Joselito gets

Sagot :

Leemezogidn
Let Jose's share be X,
Joel = 2/3(x) (share is 2/3 of jose's)
Joselito = 4x (share is 4x of jose, because jose gets a fourth only)

then the equation would be:

2/3x + x + 4x = 1190
2x/ 3 + 3x/3 + 12x/3 = 1190
17x/3 = 1190
17x = 1190 x 3
17x = 3570
x    =  3570/17
x= 210

Substituting we'll have:

Jose = 210
Joel 2/3 (x) = 140
Joselito = 4x = 840

210 +140 + 840 = 1190

Check if the relationships are proven:

joel get 2/3 of jose then:

140 should be 2/3 of 210
(210 /3) x 2 = 140
:)

Jose gets 1/4 of joselito then:

840 / 4 should be 210
840/4 = 210
:) Done.