Country Day's scholarship fund receives a gift of $$110000.$ The money is invested in stocks, bonds, and CDs$.$ CDs pay $4\mathrm{.}25\%$ interest, bonds pay $2\mathrm{.}7\%$ interest, and stocks pay $8\%$ interest. Country day invests $$40000$ more in bonds than in CDs$.$ If the annual income from the investments is $$4417\mathrm{.}5,$ how much was invested in each vehicle?

Country Day invested $ in stocks.

Country Day invested $

in bonds.

Country Day invested $ in CDs$.$