Question 1068389
She earned {{{160-51=109*dollars}}}.


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


{{{highlight(highlight(7b+5g=109))}}}
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+109}}}

{{{highlight_green(b=(109-5g)/7)}}}

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?