SOLUTION: An office supply store sells three models of computer desk: A, B, and C. In January, the store sold a total of 85 computer desks. The number of model B desks was five more than the

Question 164019: An office supply store sells three models of computer desk: A, B, and C. In January, the store sold a total of 85 computer desks. The number of model B desks was five more than the number of model C desks, and the number of model A desks was four more than twice the number of model C desks. How many of each model did the store sell in January?
Answer by aka042(26) (Show Source): You can put this solution on YOUR website!
If A, B, and C are the number of A model, B model, and C model desks respectively, then we know that in Jan, A + B + C = 85. We are told that the number of b desks was five more than the number of C desks, so B = C + 5. Furthermore, the number of A desks was four more than twice the number of C desks, so A = 4 + 2*C. Now we just substitute for A and B in our initial equation:
. This reduces to or which implies c = 76/4 = 19. Therefore 19 c desks were sold. We know can determine that the number of B desks sold was B = C + 5 = 19 + 5 = 24, and the number of A desks sold was A = 4 + 2*C = 4+(2*19) = 4+38 = 42. To check, 24 + 42 + 19 = 85.

In summary, 42 A desks were sold, 24 B desks were sold, and 19 c desks were sold.
RELATED QUESTIONS
a computer store sells two models of monitors. model a sells for $355 and model b sells... (answered by ikleyn)

A office supply store has been asked to determine weather or not the company should... (answered by addingup,MathTherapy)

A store sells two models of laptop computers. Because of the demand, the store stocks at... (answered by Theo)

The Office Store sells a box of computer disks for $11.99 while using a markup of 35% on... (answered by josgarithmetic)

An entrepreneur builds and sells computers in his store. His cost per computer is $550... (answered by Theo)

a computer store has fixed costs of $8,925 per month and a unit of $850 for every... (answered by rfer)

A computer store has fixed costs of $8,925 per month and a unit cost of $850 for every... (answered by richwmiller)

An office supply store in San Diego sells 7 writing tablets and 4 pens for $ 6.40.... (answered by checkley77)

A store reduced the price of a computer by 20% and sold it for $1360. how much did the... (answered by TimothyLamb)