SOLUTION: a fruit vendor sold the large mangoes at 2.50 each and the smaller one is 1.50 each. if she earned 420 from 200 mangoes how many of these mangoes are large and how many are smaller

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a fruit vendor sold the large mangoes at 2.50 each and the smaller one is 1.50 each. if she earned 420 from 200 mangoes how many of these mangoes are large and how many are smaller      Log On


   



Question 886379: a fruit vendor sold the large mangoes at 2.50 each and the smaller one is 1.50 each. if she earned 420 from 200 mangoes how many of these mangoes are large and how many are smaller in size?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
c for how many small mangos, CHICA
g for how many large mangos, GRANDE

1.5c%2B2.5g=420 accounts for revenue

c%2Bg=200 accounts for how many total mangos sold

Simplify the revenue equation.
15c%2B25g=4200
3c%2B5g=840

SOLVE THE SYSTEM:
c+g=200, Mango Count
3c+5g=840, Revenue Simplified

Elimination Method to start,
3c%2B5g-%283c%2B3g%29=840-3%2A200
2g=240
highlight%28g=120%29
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c%2Bg-%28g%29=200-120
highlight%28c=80%29