Save lots offers two types of baseball bats. the wood bats sell for $24 and the metal bats sell for $30. In one day, savelots sold 23 baseball bats. The receipts for those bats totaled $606. how many of each type of bat were sold?

X=number of wood bats sold

y=number of metal bats sold

Set up a system of equations

x+y=23

24x+30y=606

y=23-x

Solve by substitution:

24x+30 (23-x) = 606

24x+690-30x=606

690-6x=606

-6x=-84

6x=84

x=14

Plug in 14 for x to find y:

14+y=23

y=9

So, the save lot sold 14 wood bats and 9 metal bats.

Check:

14+9=23 true

24x+30y=606

24 (14) + 30 (9)

336+270=606

606=606 true