SOLUTION: anne had $51 saved in her piggybank at the beggining of the month. She earned $ 7 an hour babysitting and $5 an hour working in the garden. if she did not spend any money, and now

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: anne had $51 saved in her piggybank at the beggining of the month. She earned $ 7 an hour babysitting and $5 an hour working in the garden. if she did not spend any money, and now       Log On


   

Question 1068389: anne had $51 saved in her piggybank at the beggining of the month. She earned $ 7 an hour babysitting and $5 an hour working in the garden. if she did not spend any money, and now has $160, how many hours did she babysit?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
She earned 160-51=109%2Adollars.

7 dollars/hour baby sitting
5 dollars/hour garden work
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b hours baby sat
g hours garden

highlight%28highlight%287b%2B5g=109%29%29
THIS IS ALL THAT CAN BE DONE UNLESS.....
Did I miss something? You can look for some whole number combinations from the linear equation that work.

There are at least TWO combination which will work; and maybe you could find others.


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7b=-5g%2B109
highlight_green%28b=%28109-5g%29%2F7%29
g must be a non-negative real number, and b must be a non-negative real number.

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Some non-whole positive values might also be acceptable, if they involve simpler rational mixed-number values. Look for them!! What whole numbers for g will give meaningful results for b? What happens if g=4? What happens if g=5? What others?