SOLUTION: At a local fruit shop, tomatoes are sold at 24c each and pears are sold at 28c each. Keryn bought 8 more pears than tomatoes and paid the fruiterer $3.80. How many pears and tomato

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At a local fruit shop, tomatoes are sold at 24c each and pears are sold at 28c each. Keryn bought 8 more pears than tomatoes and paid the fruiterer $3.80. How many pears and tomato      Log On


   

Question 794246: At a local fruit shop, tomatoes are sold at 24c each and pears are sold at 28c each. Keryn bought 8 more pears than tomatoes and paid the fruiterer $3.80. How many pears and tomatoes did she buy?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
NOTE: MISTAKE FOUND AND EXAMINED BUT SOLUTION NOT YET FULLY FIXED. See solution and see below.

x how many tomatos
y how many pears

Description gives x=8%2By___________(THIS IS THE MISTAKE)

Accounting for cost: 24x%2B28y=380


Here, I'm using all money units as cents.
Reforming the count relation between x and y,
x-y=8, but maybe easier is make a substitution for x instead INTO the cost account equation.
24%288%2By%29%2B28y=380
24%2A8%2B24y%2B28y=380
52y%2B24%2A8=380+
52y=380-24%2A8=380-2%2A96=380-192
52y=188
y=188%2F52
y=3.6 cents--------------(believe, mistake identified)
x=11.6 cents?

The idea is good, but there may be a mistake. I post anyway, and maybe will check back later.


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Mistake seems to be relation between pears and tomatos.
tomatos+8=pears, for eight more pears than tomatos.
x+8=y, based on how I assigned the variables.