Employees at a company are given £1,400 to spend on items for the office. They decide to buy a coffee machine and as many bean bags as possible.
Bean bags cost £45 with an offer of "Buy at least 10 get 10% off the price."
The coffee machine costs £320.
How much will they have left over from the £1,400?

9514 1404 393

  £27

Step-by-step explanation:

If we assume that more than 10 bean bags will be purchased, their individual cost will be £45 - 10%×£45 = £40.50. Then the total cost of n beanbags and a coffee machine will satisfy the inequality ...

  £40.50n +£320 ≤ £1400

  40.50n ≤ 1080

  n ≤ 26 2/3 . . . . . . . 26 is more than 10, so the discount will be applied

Only an integer number of beanbags can be purchased, so the purchase of 26 beanbags and the coffee machine will leave a left-over amount of ...

  £1400 -(320 +26×40.50) = £1400 -1373 = £27

The employees will have £27 left over.

54

step-by-step explanation:

6x9

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)