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# 2 IMPORTANT QUESTIONS

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Please solve these questions with full working

1.Three friends were making cupcakes for a party. Josh made 10 more cakes than Alice. Alice made 8 more cakes than Tom. In total they made 62 cakes. How many cakes did Tom make?

2.When 1mm of rain falls on 1m2 of the surface of a pond, 1 litre of water is collected. What surface area of the pond is needed to collect 10000 litres from a rainfall of 20mm?

Guest Apr 11, 2017
#1
+7324
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Here is the first one:

josh = 10 + alice

alice = 8 + tom     →  alice - 8 = tom

josh + alice + tom = 62

Substitute:

(10 + alice) + alice + (alice - 8) = 62

10 + alice + alice + alice - 8 = 62

2 + 3(alice) = 62

alice = 60/3 = 20

alice - 8 = tom

20 - 8 = tom = 12 cakes

hectictar  Apr 11, 2017
#2
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2. Well....if 1mm of rain falling on 1m^2 provides 1 liter of water......then 20 mm falling on the same area must provide 20 times as much water = 20 liters

So

10000L / (20L/1m^2 )  =   500m^2   is the required surface area

CPhill  Apr 11, 2017
#3
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Thanks a bunch man!

Guest Apr 11, 2017