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I need to find the cost of each item before the increase.
help :/
where did those values comes from?
1.15x2 doesnt equal 1.25
Let's say croissant $2.00 coffee $1.00. Croissant is double the price. If I raise the $2.00 by 15% I get $2.30 If I raise the $1.00 by 25% I get $1.25 1.25x2 does not equal 2.30 The doubling of price can only be seen before the markup of price, not after.
A) Cr + Cof + Fb = 5.50 B) Cr = 2*Cof So we can use equation B to change equation A into 3Cof + Fb = 5.50 After the price changes, Equation A becomes. 1.15 Cr + 1.25 Cof + Fb = $5.91 The price increase only affects the Croissant and Coffee so we have a .41 increase 0.15 Cr + 0.25 Cof = .41 0.25 Cof = .41 -0.15 Cr Coffee = 4*(.41 - 0.15 Cr) Coffee = 1.64 -.60Cr Coffee = (.328 - .92 Cr)
3 formulas are given\[cr + co + fb = 5.5\]\[cr = 2co\]\[1.15cr+1.25co+fb = 5.91\]--- \[cr + co + fb = 5.5\]\[2co + co + fb = 5.5\]\[fb=5.5-3co\] \[1.15cr+1.25co+fb = 5.91\]\[1.15(2co)+1.25co+(5.5-3co) = 5.91\]\[2.3co+1.25co+5.5-3co = 5.91\]\[2.3co+1.25co-3co = 5.91-5.5\]\[0.55co=0.41\]\[co =0.75\] \[cr = 2co\]\[cr=2(0.75)\]\[cr = 1.50\] \[cr + co + fb = 5.5\]\[1.5 + 0.75 + fb = 5.5\]\[fb = 3.25\]
I cannot get an exact answer. The best I can do is Coffee = .75 Croissant = 1.50 If these increase in price by 25% and 15% then their new prices are Coffee = .9375 and Croissant = 1.725 The price increases are .1875 for coffee and .225 for the croissant which sums to .4125
\[0.75\times1.25=0.9375 = 0.94\]\[1.50\times1.15=1.725= 1.72\]good old reliable fruit cup\[0.9375+1.725+3.25=5.91\]
Well I didn't know rounding was being taken into account (or even allowed). (That's not the way I learned things when I was in High School). Until this problem, all the word problems I'd ever seen were exactly dead on accurate.
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