Question

Penny sells hot dogs from a cart at the beach. Her daily income, s, varies directly as the number of hot dogs, h,

that she sells, and s = $255.50 when
h = 73. Find h when s = $304.50.

Answer 1

First we will find the cost of 1 hot dog!!

Here, We are given;

• Cost of 73 hot dogs is $255.5

Divide the cost of hot dogs by number of hot dogs:

`\sf (255.5)/(73) = 3.5`

So, The cost of 1 hot dog is $3.5...

Now, The number of hot dogs multiplied by 3.5 is 304.5

`\sf \: x * 3.5 = 304.5 \\ \sf \: x = (304.5)/(3.5) \\ \boxed{ \tt \: x = 87}`

Thus, She sold 87 hot dogs!!