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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?

Respuesta :

PHDFlopper
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

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