Question

Jamie, Lily, and Alice collectively weigh 192 pounds. Lily is 3 times as heavy as Jamie, and Alice is 11 pounds. Lighter than Lily. How much heavier is Alice than Jamie?

Answer 1

Alice is 47 pounds havier than Jamie.

Explanation:

Let be "j" the weight in pounds of Jamie, "l" the weight in pounds of Lily and "a" the weight in pounds of Alice.

Based on the data given in the exercise, we can know that:

`j+l+a=192` [Equation 1]

`l=3j` [Equation 2]

`a=l-11` [Equation 3]

Solve "j" from the Equation 2:

`j=(l)/(3)`

Substitute this equatio and the Equation 3 into the Equation 1 and solve for "l":

`(l)/(3)+l+(l-11)=192\\\\(7)/(3)l=203\\\\l=(203)((3)/(7))\\\\l=87`

Substitute the value of "l" into the equation
`j=(l)/(3)` to find "j":

`j=(87)/(3)=29`

Substitute the value of "l" into the Equation 3 to find "a":

`a=87-11=76`

Subtract the weight of Jamie from the weight of Alice in order to find how much heavier is Alice than Jamie:

`76lb-29lb=47lb`

Alice is 47 pounds havier than Jamie.