Clare sells air fresheners for automobiles for $\$ 6.00$ and powdered air cans for $\$ 4.00$. Total sales were $\$ 196$. Customers bought 4 times as many air fresheners as powdered air cans. How many of each was sold? What was the total dollar value sold for each? A. Number air fresheners. air fresheners B. Number powdered air cans. powdered air cans

Step 1 ：Let's denote the number of air fresheners sold as F and the number of powdered air cans sold as C.

Step 2 ：From the problem, we know that the total sales were $196, so \(6F + 4C = 196\).

Step 3 ：We also know that customers bought 4 times as many air fresheners as powdered air cans, so \(F = 4C\).

Step 4 ：We can substitute the second equation into the first to get: \(6(4C) + 4C = 196\), which simplifies to \(24C + 4C = 196\) and further simplifies to \(28C = 196\).

Step 5 ：Dividing both sides by 28, we get: \(C = \frac{196}{28} = 7\).

Step 6 ：Substituting \(C = 7\) into the second equation, we get: \(F = 4 * 7 = 28\).

Step 7 ：So, Clare sold \(\boxed{28}\) air fresheners and \(\boxed{7}\) powdered air cans.

Step 8 ：The total dollar value sold for each is: For air fresheners: \(28 * $6 = $168\) and for powdered air cans: \(7 * $4 = $28\).

Step 9 ：So, the total dollar value sold for air fresheners was \(\boxed{$168}\) and for powdered air cans was \(\boxed{$28}\).