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primary 5 | Maths
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Plan A offers 300 SMS and 70 min for $25.50.
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This means that
Plan A offers 600 SMS and 140 min for $51.
Plan A offers 900 SMS and 210 min for $76.50.
Plan A offers 1200 SMS and 280 min for $102.
And so on.
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Plan B offers 400 SMS and 100 min for $35,
This means hat
Plan B offers 800 SMS and 200 min for $70.
Plan B offers 1200 SMS and 300 min for $105.
And so on.
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Do you see two SMS numbers which are the same? Let's pull them out here.
Plan B offers 1200 SMS and 300 min for $105.
Plan A offers 1200 SMS and 280 min for $102.
Their difference lies in the extra 20 min offered by Plan B for that extra $3.
So, 20 min of talktime must cost $3.
1 min of talktime must cost $3 divided by 20 = $0.15.
300 minutes of talktime must cost $0.15 * 300 = $45.
This means that
1200 SMS must cost $105 - $45 = $60.
1 SMS must cost $60 divided by 1200 = $0.05.
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Cost of 200 SMS
= $0.05 * 200
= $10
Cost of 140 minutes of talktime
= $0.15 * 140
= $21
Cost of Plan C
= Cost of 200 SMS + Cost of 140 min talktime
= $10 + $21
= $31
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