# SOLUTION: the material cost of a medical gadget is \$4 less than twice the cost of the direct labour and the overhead is 5/6 of the direct labour cost. the total cost of the gadget is 157\$ wh

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 Click here to see ALL problems on Money Word Problems Question 186222: the material cost of a medical gadget is \$4 less than twice the cost of the direct labour and the overhead is 5/6 of the direct labour cost. the total cost of the gadget is 157\$ what is the amount of each of the three elements of cost?? "i had a hard time figuring this out and i have a lot of questions like this in college. Can you please show me all the steps thank youAnswer by ankor@dixie-net.com(15647)   (Show Source): You can put this solution on YOUR website!First, assign the unknowns and write an equation for each phrase : Let x = the material cost Let y = cost of direct labor Let z = overhead : "the material cost of a medical gadget is \$4 less than twice the cost of the direct labour" x = 2y - 4 : "the overhead is 5/6 of the direct labour cost. z = y : " the total cost of the gadget is 157" x + y + z = 157 : what is the amount of each of the three elements of cost : Note that x and z both have an relationship to y, if we substitute for x & z in the total cost equation, we only have one unknown to deal with. : x + y + z = 157 : (2y-4) + y + y = 157 : 2y - 4 + y +y = 157 : 3y + y = 157 + 4 : 3y + y = 161 Get rid of that denominator, multiply equation by 6, results: 6(3y) + 5y = 6(161) : 18y + 5y = 966 : 23y = 966 y = y = \$42 is the direct labor cost : We can use the 1st two equation to find x & z, substitute 42 for y: x = 2y - 4 x = 2(42) - 4 x = 84 - 4 x = \$80 is the material cost : z = y z = (42) z = 5(7); canceled 6 into 42 z = \$35 is the overhead cost ; : Check solutions in the total cost equation 80 + 42 + 35 = 157 : : Try using this method on all your word problems. Even if you do not understand the whole problem, you can write a simple equation for each statement. After you have done that, a plan of attack will often be apparent to you. Good luck Carl