Question

14. Danny works part-time at Tom's Toy Store. He

worked 84 hours in May and June. Danny worked
one-third as many hours in May as in June.
How many hours did he work in each month?

Answer 1

May be y and June be x

• x+y=84
• y=1/3x

Now

Put y from (2) in eq(1)

• x+1/3x=84
• 3x+x)3=84
• 4x/3=84
• 4x=3(84)
• x=3(21)
• x=63

Find y

• y=1/3(63)
• y=21

Answer 2

• 21 hours in May, 63 hours in June

Explanation:

Set up equations

• m - May, j - June

• m + j = 84
• m = 1/3j

Solve by substitution, fin the value of j

• 1/3j + j = 84
• 4/3j = 84
• j = 84*3/4
• j = 63

Find m

• m + 63 = 84
• m = 84 - 63
• m = 21