Question

5)

Solve the problem by multiplying first.
Jayce bought 4 bath towels and returned 3 hand towels. Mis sister Jayna bought 5 bath
towels and returned 6 hand towels. Jayce paid a total of $64 and Jayna paid a total of $44.
46 - 3h - 64
The system of equations Sb - 6h = 44 models this situation, where b is the price of
a bath towel and h is the price of a hand towel. How much does each kind of towel cost?
Bath towels cost $
each and hand towels cost $
each,

Answer 1

• bath: $28
• hand: $16

Explanation:

Apparently, your system of equations is supposed to be ...

• 4b -3h = 64
• 5b -6h = 44

We can multiply the first equation by 2 and subtract the second equation:

2(4b -3h) -(5b -6h) = 2(64) -(44)

3b = 84

b = 28

Using the first equation, we can find the price of a hand towel:

4b -64 = 3h

h = (4/3)(b -16) . . . . . divide by 3 and factor out 4

h = (4/3)(28 -16) = 16

Bath towels cost $28 each, and hand towels cost $16 each.