Question

Kaylee has 76 more beads than Alice, and 3/5 of Alice’s beads is equal to 1/3 of Kaylee’s beads. How many beads does Kaylee have

Answer 1

Kaylee has 171 beads

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.,

`((3)/(5) ) x = ((1)/(3) ) y` .. (2)

substitute eq(1) in eq(2)

we get

`((3)/(5) ) x = ((1)/(3) ) (76 + x)`

solving the above equation, we get

x = 95, subsitute in eq(1)

y = 76 + 95

y = 171

Kaylee has 171 beads