Jauanita and keenan own a camping supply store and just put in an order fir flashlights and sleeping bags. 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 for the flashlights and sleeping bags was $1785 how many flashlights and how many sleeping bags did juanita and keenan order

Step-by-step explanation:

One group of 5 flashlights and 1 sleeping bag will cost ...

  $12×5 +45 = $105

The total cost of the order is $1785/$105 = 17 times that amount, so there were ...

  17 sleeping bags ordered

  17×5 = 85 flashlights ordered

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{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1