The number of flashlights ordered was five times the number of sleeping bags . the flashlights cost $12 each and the sleeping bags cost $45 each . if the total cost was $1785, how many flashlights and how many sleeping bags were ordered

There were 85 Flashlights and 17 sleeping bags ordered.

Step-by-step explanation:

Given:

Cost of each flashlight = $12

Cost of each sleeping bags = $45

Total Cost = $1785

Let number of Sleeping bags be 'x'.

Also given:

The number of flashlights ordered was five times the number of sleeping bags .

framing the equation we get.

Number of flashlights =

Now Total Cost is equal to sum of Cost of each sleeping bags multiplied by number of sleeping bags and Cost of each flashlight multiplied by number of flashlights.

framing in equation form we get;

So number of sleeping bags = 17

Number of flashlights =

Hence There were 85 Flashlights and 17 sleeping bags ordered.

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .