Question

1. brita withdrew $225 from her bank account. after her withdrawal, there was $548 left in brita’s account. how much money did brita have in her account before the withdrawal?
2. a total of 14 guests attended a birthday party. three guests stayed after the party to help clean up. how many guests left when the party ended?
3. spot fetched 12 sticks and some rocks when he played outside. he fetched a total of 27 items, how many rocks did he fetch?
4. ronald spent $123.45 on school clothes. he counted his money and discovered that he had $36.55 left. how much money did he originally have?

Explanation:

Step1: Define original amount

Let $x$ = original money.

Step2: Set up withdrawal equation

$x - 225 = 548$

Step3: Solve for $x$

$x = 548 + 225 = 773$

Step1: Define guests left

Let $x$ = guests left at end.

Step2: Set up guest count equation

$x = 14 - 0 + 3$

Step3: Calculate guest count

$x = 14 + 3 = 17$

Step1: Define number of rocks

Let $x$ = number of rocks.

Step2: Set up total items equation

$x + 12 = 27$

Step3: Solve for rock count

$x = 27 - 12 = 15$

Step1: Define original money

Let $x$ = original money.

Step2: Set up spending equation

$x - 123.45 = 36.55$

Step3: Solve for original money

$x = 36.55 + 123.45 = 160$

Answer:

1. Brita had $\$773$ before withdrawal.
2. 17 guests left when the party ended.
3. Spot fetched 15 rocks.
4. Ronald originally had $\$160$.