Posted by **joi** on Tuesday, December 27, 2011 at 11:22am.

1. Three boxes A, B and C weigh 12kg altogether. Box A weighs 1.2kg more than B and 0.3kg more than C. What is the weight of the heaviest box?

2. Peter and Ali have 375 cards altogether. If Ali gives 25% of his cards to Peter, he will have 1/4 as many cards as Peter. How many cards does Ali have?

- maths p5 -
**Steve**, Tuesday, December 27, 2011 at 3:40pm
1)

A = B + 1.2

A = C + .3

so,

C = B + .9

so,

A+B+C = B+1.2 + B + B+.9 = 12.0

3B + 2.1 = 12.0

B = 3.3

A = 4.5

C = 4.2

2)

If p a gives 1/4 of his cards to p,

3/4 a = 1/4(p + a/4)

3a = p + a/4

12a = 4p + a

11a = 4p

so,

a + p = a + 11/4 a = 375

15a/4 = 375

15a = 1500

a = 100

so, p = 275

if a gives 25 to p,

then a = 75 and p = 300

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