Mitchell has only quarters and dimes in his piggy bank the last time he counted his money he had a total of 85 coins that equal $16.75 write a system of equations to model mitchell’s situation. solve the system of equations to find the number of quarters and dimes

55 quarters, 30 dimes

Step-by-step explanation:

x: quarters

y: dimes

x + y = 85

0.25x + 0.10y = 16.75

Multiply first equation by 0.10 and subtract the two equations.

0.10x + 0.10y = 8.50

-(0.25x + 0.10y = 16.75)

-0.15x = -8.25

x = 55

now plug this x-value into the first equation.

x + y = 85

55 + y = 85

y = 30

Divide Kayak budget by rental rate

Step-by-step Explanation:

As Joshua is renting for himself alone, the two available options would be the Single Kayak and the Single Sea Kayak.

He can determine the number of hours to rent a Kayak for by dividing his Kayak Budget by the rental rate per hour of the 2 options available to him.

Budget available = $50

Rental rate = $15 per hour

Hours he can rent = 50/15

= 3.33 hours

Budget available = $50

Rental rate = $18 per hour

Hours he can rent = 50/18

= 2.78 hours