Question

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answer 1

$\large{ \boxed{ \tt{OUR \: ANSWER : \underline{ \ \: 583.3125}}}}$

• Well , You can solve this question using two ways. I'm gonna use the both ways to make you clear and the one which you can easily understand , pick up that way and start solving another question as similar as this one.

$\large{ \tt{❃ \: FIRST \: METHOD }} :$

This method is related to the unitary method. Let's start :

• We're provided - Amount Kelly earns per hour for gardening = $ 12.75 and we're asked to find out the amount she earn if she worked 45.75 hours this month.

• We know , Kelly probably earns more money if she worked 45.75 hours comparison to if she worked 1 hour. So You just multiply 45.75 & 12.75 , you would get $ 583.3125 and that's your final answer.

$\large{ \tt{❃ \: SECOND \: METHOD}} :$

This method is related to the proportion. If you haven't learned about it yet , use the above way to solve the similar type of questions. Let's start :

• Let Kelly earns X dollars if she worked 45.75 hours this month. [ Now , See the attached picture ]

• Here , we can see the time is increased which implies that money will surely be increased. Such type of proportion is called direct proportion.

• Here , the ratio of time ( in hours ) = 1 : 45.75 and the ratio of amount ( in dollars ) = 12.75 : x . Now , Set up an equation and solve for x :

$\large{ \tt{ ❁ \: \frac{1}{45.75} = \frac{12.75}{x}}}$

$\large{ \tt{↦ \: 1 \times x = 45.75 \times 12.75}}$

$\large{ \tt{↦x = \ \: 583.3125}}$

• Hence , She earned $ 583.3125 .

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