word problem in the description box

Question

 A sporting goods store sells right-handed and left-handed baseball gloves. In one month, 12 gloves were sold for a total revenue of $561.  Right-handed gloves cost $45 in left-handed gloves cost $52. How many of each type of glove did they sell? 

 

Have to solve by system of equations 

 

Answer 1

Hi Leah,

 

Let X = the number of right handed gloves and Y = the number of left handed gloves.

 

12 gloves were sold, so X + Y = 12  and X = 12 - Y

 

Now multiply the cost of each glove by the number of gloves and set the total equal to 561

 

45X + 52Y = 561

 

Now substitute 12 - Y for X--> 45(12 - Y) + 52Y = 561

 

540 - 45Y + 52Y = 561

 

540 + 7Y = 561

 

7Y = 21

 

Y = 3

 

Then X = 9

 

Plug the numbers back into the problem to make sure they work.

 

Have fun.

 

Dan