Margie is responsible for buying a weeks supply of food and medication for the dogs and cats at a local shelter. the food and medication for each dog costs twice as much as those supplies for a cat. she needs to feed 164 cats and 24 dogs. her budget is $4240. how much can margie spend on each dog for food and medication

$20 on each cat and $40 on each dog

Step-by-step explanation:

Call the amount spent on each, cat, x   and let the amount spent each dog = y = 2x

So we have the following constraints:

y = 2x   (1)

164(x) + 24y <= 4240  (2)  

Substituting  (1)  into 2 for y, we have

164x + 24(2x) <= 4240     simplify

212x <= 4240     divide both sides by 212

x<=  $20  on each cat

And  y  = 2(20)  = $40  on each dog

So she can spend $20 on each cat and $40 on each dog

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.