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1 April, 01:04

Colin, Sara and Gordon share some sweets in the ratio 5:2:1. Colin gets 36 more sweets than Gordon. How many sweets are there altogether?

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  1. 1 April, 03:51
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    c=36+g

    c:g:s=5:2:1

    The ratio gives us two equations so that's three equations in three unknowns. Actually we're after the total t; let's put that in to solve for directly.

    c:g:s:t = 5 : 2 : 1 : 5+2+1

    We turn the ratio to fraction equations. s has the one; let's write everything in terms of s.

    c/s = 5/1, g/s = 2/1, t/s = 8/1

    Clearing the fractions,

    c = 5s, g = 2s, t = 8s

    Our other equation is

    c = 36 + g

    Substituting in for c and g,

    5s = 36 + 2s

    Solving,

    3s = 36

    s = 12

    That's right; let's just get the total t.

    t = 8s = 72

    Answer: 72
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