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?
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Step-by-Step Solution
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×$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
.