Question

To make one cheese sandwich, Tina uses one bread roll and two cheese slices.
Pack of 15 bread rolls
£1.91
Pack of 20 cheese slices
£2.23
She is going to buy enough packs to
have exactly twice as many cheese slices as bread rolls
make more than 100 cheese sandwiches.
Work out the least amount she can spend.​

Answer 1

Answer:

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Answer 2

Answer:

£42.04

Step-by-step explanation:

pack of 15 bread rolls = £1.91

pack of 20 cheese slices  = £2.23

Cheese sandwich ≥ 100

Bread Roll ≥ 100

Cheese Slice ≥ 200   ( two used in one sandwich)

15 B ≥  100  => B ≥ 7

20C ≥  200 => C ≥ 10

twice as many cheese slices as bread rolls

15B * 2 = 20C

=> 30B = 20C

=> 3B = 2C

B : C ::  2 : 3

B   = 2x  & C = 3x

2x ≥ 7

=> x ≥ 7

=> x ≥ 4

for x = 4  

B = 2x = 8 ≥ 7

C = 3x = 12 ≥ 10

so 8 B    &     12 C

8 packet of Bread Rolls & 12 Packs of cheese slice to make 120 sndwich

8 B cost = 8 * 1.91 = £15.28

12C Cost = 12 * 2.23 = £26.76

Total cost = £15.28 + £26.76 = £42.04