If company A has an excess amount of glove they are willing to sell for a flat rate of 79.95. and company B has gloves they will sell for 30.95 and .15 per pair of gloves and company C also has gloves they will sell for 20.95 and .35 per pair. when will the costs be the same?
1st equation:
.15x + 30.95 = 79.95
.15x = 49
x = 327 pairs of gloves
2nd equation:
.35x + 20.95 = 79.95
x = 169 pairs of gloves
3rd equation
.35x + 20.95 = .15x + 30.95
.2x = 10
x = 50
A and B gloves will cost the same if they sell327 pairs
A and C gloves will cost the same at 169 pairs
B and C gloves will cost the same at 50 gloves
Silly question, unless I mis-understood the question.
Not a silly question and thanks for the help!
To find out when the costs will be the same for all three companies, we need to set up an equation where the total cost for each company is equal.
Let's assume the number of pairs of gloves is represented by 'x'.
For Company A:
Total cost = Flat rate = $79.95
For Company B:
Total cost = Cost of gloves + (Cost per pair * Number of pairs)
= $30.95 + ($0.15 * x)
For Company C:
Total cost = Cost of gloves + (Cost per pair * Number of pairs)
= $20.95 + ($0.35 * x)
Now we can set up an equation:
$79.95 = $30.95 + ($0.15 * x) = $20.95 + ($0.35 * x)
Simplifying the equation:
$79.95 = $30.95 + $0.15x + $20.95 + $0.35x
Combine like terms:
$79.95 = $51.90 + $0.50x
Subtract $51.90 from both sides:
$79.95 - $51.90 = $0.50x
$28.05 = $0.50x
Divide both sides by $0.50:
$x = $28.05 / $0.50
x = 56.1
Therefore, the costs will be the same when the number of pairs of gloves (x) is approximately 56.1. However, since we cannot have a fraction of a pair of gloves, we can round up this value to the nearest whole number.
Therefore, the costs will be the same when there are 57 pairs of gloves.