Abdullah baked 276 cream tarts and 3 times as many fruit tarts as cream tarts. He gave away an equal number of cream tarts and fruit tarts. Then he had 4 times as many fruit tarts as cream tarts left. He sold all the rest of the cream tarts and fruit tarts at $1.80 each. How much money did Abdullah collect after selling the tarts?
Abdullah baked 276 cream tarts * 3 = <<276*3=828>>828 fruit tarts.
Abdullah gave away 276 cream tarts / 2 = <<276/2=138>>138 cream tarts.
He then gave away 138 cream tarts = 138 fruit tarts to match.
After giving away the same amount, he had 828 fruit tarts - 138 fruit tarts = <<828-138=690>>690 fruit tarts.
Abdullah had 4 * 138 cream tarts = <<4*138=552>>552 cream tarts left.
He had 690 fruit tarts + 552 cream tarts = <<690+552=1242>>1242 total tarts left.
He sold all of the fruit and cream tarts at 1242 total tarts * $1.80/tart = $<<1242*1.8=2235.6>>2235.6. Answer: \boxed{2235.6}.
Let's break down the given information step by step.
Step 1: Abdullah baked 276 cream tarts.
Step 2: Abdullah baked 3 times as many fruit tarts as cream tarts. So, he baked 3 * 276 = 828 fruit tarts.
Step 3: Abdullah gave away an equal number of cream tarts and fruit tarts. Let's assume he gave away x number of cream tarts and x number of fruit tarts.
Step 4: After giving away, Abdullah had 4 times as many fruit tarts as cream tarts left. So, the number of cream tarts left = 276 - x, and the number of fruit tarts left = 4(276 - x).
Step 5: Abdullah sold all the remaining cream tarts and fruit tarts at $1.80 each.
Now, let's calculate the remaining number of tarts and the amount of money collected.
Step 1: Let's substitute the values in the equation for the number of tarts left: 4(276 - x) = 276 - x.
Expanding the equation: 1104 - 4x = 276 - x.
Simplifying the equation: 3x = 828.
Dividing both sides by 3: x = 276.
So, Abdullah gave away 276 cream tarts and 276 fruit tarts.
Step 2: Now, let's calculate the number of tarts sold: 276 (cream tarts) + 276 (fruit tarts) = 552 tarts.
Step 3: Calculate the money collected: 552 tarts * $1.80 per tart = $994.40.
Therefore, Abdullah collected $994.40 after selling the tarts.
To solve this problem, we need to break it down into steps:
Step 1: Calculate the number of fruit tarts Abdullah baked.
Since Abdullah baked three times as many fruit tarts as cream tarts, he baked 3 x 276 = 828 fruit tarts.
Step 2: Calculate the number of tarts he gave away.
Since he gave away an equal number of cream tarts and fruit tarts, he gave away 276 + 828 = 1104 tarts.
Step 3: Calculate the number of tarts he had left.
After giving away the tarts, Abdullah had 4 times as many fruit tarts as cream tarts left, which means he had 4 x 276 = 1104 cream tarts left.
Since he also had an equal number of fruit tarts left, he had 1104 + 1104 = 2208 fruit tarts left.
Step 4: Calculate the total number of tarts he sold.
He sold all the remaining cream tarts and fruit tarts, so the total number of tarts he sold is 1104 + 2208 = 3312 tarts.
Step 5: Calculate the money collected.
Since each tart was sold for $1.80, the total amount of money Abdullah collected is 3312 x $1.80 = $5952.
Therefore, Abdullah collected $5952 after selling the tarts.