A book club wants to raise $5,000 during a dinner fundraiser. The club members have sold 323 adult dinners at $10.75 each. The cost of a child dinner is $5.50. How many child dinners will they need to sell to reach their target amount?

Money earned from adult dinners = 323 x 10.75 = $3472.25
Money required to reach target amount = 5000 - 3472.25 = $1527.75
No. of child dinners required to reach the target amount = 1527.75 / 5.50 = $277.8
Therefore, 278 child dinners are needed to reach their target amount