Lisa, Beth, and Tim painted their grandparent's house.

Question

• The amount of time Lisa painted can be represented by x.
• The amount of time Beth painted is 1
3
5
times the amount Lisa painted
• The amount of time Tim painted is 1
2
3
times the amount Lisa painted.
• The total amount of time Lisa, Beth, and Tim painted is 24 hours.

What is x, the amount of time painted by Lisa?

Answer 1

Confused by your 1
3
5 and
1
2
3.

If those are fractions, they need to be printed 1 3/5 and 1 2/3. Is that what you meant?

Answer 2

If so, then you know that
x + (1 3/5)x + (1 2/3)x = 24
Now, 1 3/5 + 1 2/3 = 8/5 + 5/3 = 24/15 + 25/15 = 49/15
so, now you know that
x + 49/15 x = 24
64/15 x = 24
x = 24 * 15/64 = 45/8 = 5 5/8 hours