hector and francis spent a total of $47.50 at the mall. if hector spent 50% more than francis, how much did…

hector and francis spent a total of $47.50 at the mall. if hector spent 50% more than francis, how much did francis spend at the mall?\n$19.00\n$23.50\n$28.50\n$31.67

hector and francis spent a total of $47.50 at the mall. if hector spent 50% more than francis, how much did francis spend at the mall?\n$19.00\n$23.50\n$28.50\n$31.67

Answer

Explanation:

Step1: Let Francis's spending be $x$.

Hector spent 50% more than Francis, so Hector's spending is $x + 0.5x=1.5x$.

Step2: Set up an equation for total - spending.

The total of their spending is $x + 1.5x=47.50$. Combining like - terms, we get $2.5x = 47.50$.

Step3: Solve for $x$.

Divide both sides of the equation $2.5x = 47.50$ by 2.5: $x=\frac{47.50}{2.5}=19$.

Answer:

$19.00$