Question

Tammy, Manuel, and Dale have a total of $95 in their wallets. Dale has 3 times what Tammy has. Tammy has $5 less than Manuel. How much do they have in their wallets?

a) Tammy: $15, Manuel: $20, Dale: $60
b) Tammy: $25, Manuel: $30, Dale: $40
c) Tammy: $30, Manuel: $35, Dale: $60
d) Tammy: $35, Manuel: $40, Dale: $50

Answer 1

Tammy has $35, Manuel has $40, and Dale has $50.

Step-by-step explanation:

To solve this problem, we can set up a system of equations based on the given information:

Tammy + Manuel + Dale = $95

Dale = 3(Tammy)

Tammy = Manuel - $5

Substituting the last two equations into the first equation, we get:

(Manuel - $5) + Manuel + 3(Manuel - $5) = $95

Simplifying this equation gives us:

5Manuel - $20 = $95

Combining like terms and solving for Manuel, we find that Manuel = $40. Plugging this value back into the other equations, we find that Tammy = $35 and Dale = $50.

Therefore, Tammy has $35, Manuel has $40, and Dale has $50.