Question 636747
1. Write the equation for painting the house with both people
10*Rate of Chris + 10*Rate of Cynthia = 1 Painted house

2. Write known and Unknown variables:
Rate of Chris: 1/14 per hour
Rate of Cynthia: x

10*Rate of Chris + 10*Rate of Cynthia = 1 Painted house
{{{10*(1/14)+10x=1}}}
{{{(10/14)+10x=1}}}
{{{10x=1-(10/14)}}}
{{{x=1/35}}}

Cynthia would have taken 35 hours to paint the house on her own.