Rita bought 105 items from the market, and each item is either glass, cup, or spoon. If she ownsbought 5 more cups than glasses, and twice as many cups as glasses, how many glasses Rita did buy ?  Answers
A) 20  B) 25  C) 30  D) 40  E) 50
x = the number of glasses   y = the number of cups   z = the number of spoons   From the first sentence we have   Equation #1: x + y + z = 105   ...she bought 5 more spoons than glasses...   Equation #2: z = 5 + x   ...twice as many cups as glasses...   Equation #3: y = 2x   Now, we can replace y with x in Equation #1   x + 2x + z = 105   Equetion 4 : 3x + z = 105   by adding Equetion #2 and Equetion #4   4x = 100   x = 100/4= 
<gadget id="calculator">100/4</gadget>
<output>25</output>
25   There are 25 glasses. That's the answer. Just for check, this is 5 less than the number of spoons, so z= 30, y = 50, and   25 + 50 + 30= 
<gadget id="calculator">  25 + 50 + 30</gadget>
<output>105</output>
105.   Answer= 25,(25)
<result>B</result>
Rita bought 105 items from the market, and each item is either glass, cup, or spoon. If she ownsbought 5 more cups than glasses, and twice as many cups as glasses, how many glasses Rita did buy ?