# ALgebra

Dave Bowers collects U.S. gold coins. He has a collection of 54 coins. Some are​ \$10 coins, and the rest are​ \$20 coins. If the face value of the coins is ​\$780​, how many of each denomination does he​ have?

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1. t for ten and w for twenty

t + w = 54

10 t + 20 w = 780

solve the system

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2. 10x +20y =780. X + y =54 . Solve simultaneously x=30 and y=24. . . If u wana knw hw many gold coin7 itz lyk dis 10 x 30=\$300and 20 x 24 =\$480

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3. X = \$10-coins.
54-x = \$20-coins.

10x + 20(54-x) = 780.
10x + 1080 - 20x = 780.
-10x = -300.
X = 30.

54-x = 54-30 = 24

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