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student22
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This problem was touched upon before on this forum, but very briefly. Can someone please explain where my work went wrong?
If Bob produces 36 or fewer items in a week, he is paid x dollars per item. If Bob produces more than 36 items in a week, he is paid x dollars per item for the first 36 items and 1.5 times that amount for each additional item. How many items did Bob produce last week?
(1) Last week Bob was paid a total of $480 for the items that he produced that week.
(2) This week Bob produced 2 items more than last week and was paid a total of $510 for the items that he produced this week.
OA: E
I chose C, and this is what I did:
Let n = number of items
From statement 1:
xn + 1.5x(n - 36) = 480 --> 2.5xn - 54x = 480
From statement 2:
I only subtracted 34, since he produced 2 more items.
xn + 1.5x(n - 34) = 510 --> 2.5xn - 51x = 510 --> xn = .4(510 + 51x)
Now combined:
2.5(.4(510 + 51x) - 54x = 480 --> solve for x. And then you can solve for n.
What did I do wrong?
If Bob produces 36 or fewer items in a week, he is paid x dollars per item. If Bob produces more than 36 items in a week, he is paid x dollars per item for the first 36 items and 1.5 times that amount for each additional item. How many items did Bob produce last week?
(1) Last week Bob was paid a total of $480 for the items that he produced that week.
(2) This week Bob produced 2 items more than last week and was paid a total of $510 for the items that he produced this week.
OA: E
I chose C, and this is what I did:
Let n = number of items
From statement 1:
xn + 1.5x(n - 36) = 480 --> 2.5xn - 54x = 480
From statement 2:
I only subtracted 34, since he produced 2 more items.
xn + 1.5x(n - 34) = 510 --> 2.5xn - 51x = 510 --> xn = .4(510 + 51x)
Now combined:
2.5(.4(510 + 51x) - 54x = 480 --> solve for x. And then you can solve for n.
What did I do wrong?
