the tables below show running hours of three printers that produce greeting cards and the total number of…

the tables below show running hours of three printers that produce greeting cards and the total number of greeting cards produced over three weeks.\n\nnumber of hours machine is running\n| |printer a|printer b|printer c|\n|--|--|--|--|\n|week 1|40|50|45|\n|week 2|45|50|35|\n|week 3|50|40|50|\n\ntotal cards produced\n| | |\n|--|--|\n|week 1|7,950|\n|week 2|7,350|\n|week 3|8,700|\n\nprinter b uses $15 in ink every hour. what is the ink cost for each card coming from printer b?

the tables below show running hours of three printers that produce greeting cards and the total number of greeting cards produced over three weeks.\n\nnumber of hours machine is running\n| |printer a|printer b|printer c|\n|--|--|--|--|\n|week 1|40|50|45|\n|week 2|45|50|35|\n|week 3|50|40|50|\n\ntotal cards produced\n| | |\n|--|--|\n|week 1|7,950|\n|week 2|7,350|\n|week 3|8,700|\n\nprinter b uses $15 in ink every hour. what is the ink cost for each card coming from printer b?

Answer

Explanation:

Step1: Calculate total hours of Printer B

$50 + 50+40=140$ (hours)

Step2: Calculate total ink - cost for Printer B

Since it uses $15$ dollars per hour, total cost is $140\times15 = 2100$ (dollars)

Step3: Calculate total number of cards produced

$7950 + 7350+8700=24000$ (cards)

Step4: Assume the number of cards produced by Printer B is proportional to its running - time

The proportion of Printer B's running time to the total running time of all printers in three weeks: Total running time of all printers in week 1: $40 + 50+45 = 135$ (hours) Total running time of all printers in week 2: $45 + 50+35 = 130$ (hours) Total running time of all printers in week 3: $50 + 40+50 = 140$ (hours) Total running time of all printers in three weeks: $135 + 130+140 = 405$ (hours) The proportion of Printer B's running time: $\frac{140}{405}$ Assume the number of cards produced by Printer B is $n$, and $n=\frac{140}{405}\times24000$ $n=\frac{140\times24000}{405}=\frac{3360000}{405}\approx8296.3$ (cards)

Step5: Calculate ink cost per card for Printer B

$\text{Cost per card}=\frac{2100}{8296.3}\approx0.25$ (dollars per card)

Answer:

$$0.25$