Step-by-step explanation:
Let Alice's beads be represented as x and Kaylee's beads as y
Kaylee has 76 more beads than Alice,
y = 76 + x ... (1)
3/5 of Alice’s beads is equal to 1/3 of Kaylee’s beads.,
[tex](\frac{3}{5} ) x = (\frac{1}{3} ) y[/tex] .. (2)
substitute eq(1) in eq(2)
we get
[tex](\frac{3}{5} ) x = (\frac{1}{3} ) (76 + x)[/tex]
solving the above equation, we get
x = 95, subsitute in eq(1)
y = 76 + 95
y = 171
Kaylee has 171 beads
