Question

Renee, Susan, and Martha will share the cost to rent a vacation house for a week.• Renee will pay 40% of the cost.• Susan will pay 0.35 of the cost• Marth will pay the remainder of the cost.a) Martha thinks that she will pay 1/3 of the cost. Is Martha correct. Use Math to justify your answer.b) The cost to rent a vacation house for a week is $850. How much will Renee, Susan and Marth each pay to rent thishouse for a week?

Answer 1

a) Martha's thought is incorrect

b) Renne will pay $340 , Susan will pay $297.50 while Martha will pay $202.50

a) Here, we want to know if Martha's throught is right

Renne is paying 40%

Susan is paying 0.35

Mathematically;

`0.35\text{ = }(35)/(100)\text{ which is 35\%}`

So, what is left to pay is;

`100-35-40\text{ = 25\%}`

Now, to know if Martha is correct, we need to check or evaluate if 25% is same as 1/3

Mathematically;

`\begin{gathered} 25\text{ percent = }(25)/(100)\text{ = }(1)/(4) \\ \\ (1)/(4)\\e\text{ }(1)/(3) \end{gathered}`

Since both fractions are not equal, we can conclude that Martha is incorrect

b) Here, we want to know how much each individual will pay given the total cost

Renne paying 40%;

`R\text{ = }(40)/(100)*850\text{ = 340}`

Susan payin 0.35;

`S=\text{ 0.35}*850\text{ = \$297.50}`

Martha paying the remainder;

`M\text{ = 840-340-297.5 = \$202.50}`