If bob produces 36 or fewer in a week, he is paid x dollars per item. if bob produces more than 36 items, he is paid x dollars per item for the first 36 items, and 3/2 times that amount for each additional item. how many items did bob produce last week? (1) last week bob was paid total of $480 for the items that he produced that week. (2) this week produced 2 items more than last week and was paid a total of $510 for the item that he produced this week.

Question

Mathematics

Annika Wilson

27 December, 08:57

If bob produces 36 or fewer in a week, he is paid x dollars per item. if bob produces more than 36 items, he is paid x dollars per item for the first 36 items, and 3/2 times that amount for each additional item. how many items did bob produce last week? (1) last week bob was paid total of $480 for the items that he produced that week. (2) this week produced 2 items more than last week and was paid a total of $510 for the item that he produced this week.

+3

Answers (1)

Know the Answer?

Miracle Gordon · Answer 1

If A = items no more than 36

Pay for A items = AX

Pay for A items + Y = AX + 1.5yX

Difference paid for 2 more items = 30

If more than 36 items produce this week then, X = 30 / (2*1.5) = 10

Then using X = 10 ...

Last week cost of $480, then

Number of items produce = 480 - 360 = 120

120 / 10*1.5 = 8 thus total is 44

Number of items produce in week 2

= (510-360) / 10x1.5 = 10 thus total is 46