DeShawn plans on raising a total of $$ \$ 1,000 $$ for a local charity. His goal is to raise three-fifths of that money by the end of the month. DeShawn was only able to raise $$ 5 / 6 $$ of his goal for this month. How much money did DeShawn actually raise? $$ \$ 400 $$

Question

UpStudy AI · Accepted Answer

Let's break down the problem step by step.

1. **Identify the total amount DeShawn wants to raise**: 
   - The total amount is $$ \$ 1,000 $$.

2. **Calculate DeShawn's goal for the month**:
   - He aims to raise three-fifths of the total amount.
   - This can be calculated as:
   $$
   G = \frac{3}{5} \times 1000
   $$

3. **Calculate how much he actually raised**:
   - DeShawn raised $$ \frac{5}{6} $$ of his goal.
   - The amount he raised can be calculated as:
   $$
   R = \frac{5}{6} \times G
   $$

Now, let's perform the calculations step by step.

### Step 1: Calculate the goal $$ G $$

$$
G = \frac{3}{5} \times 1000
$$

### Step 2: Calculate the amount raised $$ R $$

$$
R = \frac{5}{6} \times G
$$

Now, I will calculate these values.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{3}{5}\times 1000$$
- step1: Reduce the numbers:
  $$3\times 200$$
- step2: Multiply the numbers:
  $$600$$
Calculate or simplify the expression $$ (5/6) * (3/5) * 1000 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{5}{6}\times \frac{3}{5}\times 1000$$
- step1: Reduce the fraction:
  $$\frac{1}{6}\times 3\times 1000$$
- step2: Multiply the terms:
  $$\frac{1}{2}\times 1000$$
- step3: Reduce the numbers:
  $$1\times 500$$
- step4: Simplify:
  $$500$$
1. **Calculate the goal $$ G $$**:
   $$
   G = \frac{3}{5} \times 1000 = 600
   $$
   So, DeShawn's goal for the month is $$ \$ 600 $$.

2. **Calculate the amount raised $$ R $$**:
   $$
   R = \frac{5}{6} \times 600 = 500
   $$
   Therefore, DeShawn actually raised $$ \$ 500 $$.

In conclusion, DeShawn raised $$ \$ 500 $$, not $$ \$ 400 $$.
DeShawn actually raised \$500.

DeShawn plans on raising a total of for a local charity. His goal is to raise three-fifths of that money by the end of the
month. DeShawn was only able to raise of his goal for this month. How much money did DeShawn actually raise?

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Arithmetic Questions

DeShawn plans on raising a total of for a local charity. His goal is to raise three-fifths of that money by the end of the month. DeShawn was only able to raise of his goal for this month. How much money did DeShawn actually raise?