Final answer:
Using algebra to define variables and set up an equation with the given information, it's determined that Diane has $9, Carlos has $16, and Abdul has $64. However, none of the provided answer choices match these amounts, indicating an issue with the options given.
Step-by-step explanation:
To solve the problem, let's use algebra. We'll start by defining our variables:
Diane has X dollars,
Carlos has X + 7 dollars (since Carlos has $7 more than Diane),
Abdul has 4(X + 7) dollars (since Abdul has 4 times what Carlos has).
The total amount of money they have is $89, so we can express this as an equation:
X + (X + 7) + 4(X + 7) = 89
Now, we simplify the equation:
X + X + 7 + 4X + 28 = 89
6X + 35 = 89
6X = 89 - 35
6X = 54
X = 54/6
X = 9
So Diane has $9. Carlos, therefore, has $9 + $7 = $16, and Abdul has $16 × 4 = $64.
The correct amounts they have in their wallets are:
Diane: $9,
Carlos: $16,
Abdul: $64.
Comparing with the given options, none of them match the correct amounts calculated, meaning there is a mistake in the question choices provided.