A is true, b is true, but c d aren’t and e is
Answer: 9 rolls of cloth A and 44 roles of cloth B
Step-by-step explanation:
Let x represent the number of rolls of cloth A that can be dyed and dried.
Let y represent the number of rolls of cloth B that can be dyed and dried.
A roll of Cloth A requires 50 minutes of dyeing time. A roll of Cloth B requires 55 minutes of dyeing time. The production division allocates 2280 minutes of dyeing time. This means that
50x + 55y = 2880- - - - - - - -1
A roll of Cloth A requires 45 minutes of drying time. A roll of Cloth B requires 30 minutes of drying time. The production division allocates 1740 minutes of drying time. This means that
45x + 30y = 1740- - - - - - - -2
Multiplying equation 1 by 45 and equation 2 by 50, it becomes
2250x + 2475y = 129600
2250x + 1500y = 87000
Subtracting, it becomes
975y = 42600
y = 42600/975
y = 44
Substituting y = 44 into equation 1, it becomes
50x + 55 × 44 = 2880
50x + 2420 = 2880
50x = 2880 - 2420
50x = 460
x = 460/50
x = 9
I can do the first part, but the second part is confusing...
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Find out how many plates Mike can pack in a minute.
60 (an hour) / .75 (3/4) = 45
180 / 45 = 4
Mike can pack 4 plates per minute.
Since Mike only packs 4 ppm, Lucy packs faster, with 5 plates per minute!
