Roy has saved 40% more in money earned by chores than his brother Anthony. Anthony has saved 10.00 more than their sister Eva. Eva has saved 20.00. How much money does Roy have?

Step 1: Determine Eva's savings

The problem directly states that Eva has saved $20.00. This is our starting point for calculating the savings of Anthony and Roy.

Step 2: Calculate Anthony's savings

Anthony has saved 10.00 more than Eva. To find Anthony's savings, we add 10.00 to Eva's savings. Substituting the value, we get $$\$20.00 + \$10.00 = \$30.00$$ .

Step 3: Calculate 40% of Anthony's savings

Roy saved 40% more than Anthony. First, we need to calculate what 40% of Anthony's savings is. We convert the percentage to a decimal by dividing by 100, so $$40\% = 0.40$$ . Then we multiply this by Anthony's savings: $$0.40 \times \$30.00 = \$12.00$$ .

Step 4: Calculate Roy's total savings

Roy saved 40% *more* than Anthony. This means we add the calculated 40% of Anthony's savings to Anthony's original savings. Therefore, Roy's total savings are $$\$30.00 + \$12.00 = \$42.00$$ .

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