Question 852900
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The cost of one apple and one banana is $1 and the cost of 3 apples and 2 bananas is $2.40. Find the cost of a single banana.

Ans:
Let the cost of apple be a and that of banana be b.

{{{a + b = 100}}} (using cents instead of dollars)
{{{3*a + 2*b = 240}}}

From the 1st equation, {{{b = 100 - a}}}
Substituting for b in the second,
{{{3*a + 2*(100 - a) = 240}}}
Simplifying, {{{3*a + 200 - 2*a = 240}}} or {{{a = 40}}}
So {{{b = 100 - a = 60}}}

Cost of banana is 60 cents or $0.6
Cost of appla is 40 cents or $0.4

Check: Cost of 3 apples and 2 bananas = 3*0.4 + 2*0.6 = 1.2 + 1.2 = 2.4. Correct!

Hope this helps :)
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