SOLUTION: there were 12 packages total, split between small flat-rate boxes for Php 5 each and medium flat￾rate boxes for Php 10.50 each. The total cost was about Php 110. How many of ea

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Question 1164534: there were 12
packages total, split between small flat-rate boxes for Php 5 each and medium flat￾rate boxes for Php 10.50 each. The total cost was about Php 110. How many of each
type did she ship?

Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
small flat rate php 5, x of these
medium flat rate php 10.5, y of these
cost, php 110
boxes, 12

system%28x%2By=12%2C5x%2B10.5y=110%29


x%2B2.1y=22
and
x%2By=12

Equating the x expressions,
22-2.1y=12-y
22-12=2.1y-y
10=1.1y
y=9.0909....

Notice the question, "The total cost was about Php 110." This means taking the most reasonable whole number result is necessary.
Best choice here is highlight%28y=9%29, and then highlight%28x=3%29.

The actual cost for the total packages must be 5%2A3%2B9%2A10.5=109.5
or highlight%28109.5Php%29.