How many oranges?

In a box there are apples, bananas, and oranges.  There are 29 total pieces of fruit. There are twice as many
apples as oranges. There are 3 more oranges than bananas.  How many oranges are in the box?

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x = number of bananas
​x + 3 = number of oranges
2(x + 3) = number of apples

x + x + 3 + 2(x + 3) = 29   {there are 29 total pieces of fruit}
x + x + 3 + 2x + 6 = 29   {used distributive property}
4x + 9 = 29   {combined like terms}
4x = 20  {subtracted 9 from each side}
x = 5  {divided each side by 4}
x + 3 = 8   {substituted 5, in for x, into x + 3}

there are 8 oranges in the box

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