exam Maths Puzzle Numerical Ability

Alana makes $5.80 per hour working in the library. To keep her job, she must make are least $116. per week; but to keep her scholarship, she must not earn more than $145. per week. What is the range of the number of hours per week she must work?

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I THINK that this is a linear equation problem. Can you help me solve this? I don't know how to solve for multiple variables in this way:
{{{2x+2z=2}}}

{{{5x+3y=4}}}

{{{3 I want to know the volume contained in the sphere up to height of 86 cm from bottom (sphere Inside diameter is 19000 mm)