to make one cheese sandwich. jack uses one bread roll and two cheese slices. pack of 15 rolls is £1.91 and pack of cheese slices is £2.23. she is going to buy enough packs to have exactly twice as many cheese slices as bread rolls make more then 100 cheese sandwiches. work out the least amount she can spend
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Answer:
Step-by-step explanation:
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
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