Respuesta :
In order to determine how muc money Lena, Juan and Dale have, it is necessary to write the given situation in an algebraic way:
If x is the money of Lena, y the money of Juan and z the money of Dale, consider that the total money they have together is $130, then, you have:
x + y + z = 130
furthermore, Juan has 3 times what Dale has:
y = 3z
and Lena has $10 more than Dale:
x = z + 10
replace the previous expressions into the first equation, and solve for z:
x + y + z = 130
z + 10 + 3z + z = 130 simplify like terms
5z + 10 = 130 subtract 10 both sides
5z = 130 - 10
5z = 120 divide by 5 both sides
z = 120/5
z = 24
next, replace the previous value of z into the expressions for x and y:
x = z + 10 = 24 + 10 = 34
y = 3z = 3(24) = 72
Hence, Lena has $34, Juan has $72 and Dale has $24
