Linear Equations in One Variable

SAT Math· difficulty 3/5

A landscape company buys mulch at \3/bagandtopsoilatbag and topsoil at $5/bag.Theybuy80bagstotalingbag. They buy 80 bags totaling $320$. How many topsoil bags?

  • A

    50

  • B

    35

  • C

    30

  • D

    40

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Explanation

m+t=80m + t = 80, 3m+5t=3203m + 5t = 320. Sub: 3(80t)+5t=3203(80-t) + 5t = 3202t=802t = 80t=40t = 40.

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