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

Answer:

Kaylee has 171 beads

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.,

$(\frac{3}{5} ) x = (\frac{1}{3} ) y$  .. (2)

substitute eq(1) in eq(2)

we get

$(\frac{3}{5} ) x = (\frac{1}{3} ) (76 + x)$

solving the above equation, we get

x = 95, subsitute in eq(1)

y = 76 + 95

y  = 171

Kaylee has 171 beads