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How many 50 cent coins are The number of 50-cent coins is
3/8 the number of 20 cent
coins in a coin box.There are
twice as many 20 cent coins as
$1 coins in the box.The total
value of the coins in the box
is $355.
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50 Cents : 3x 20 Cents: 8x 1$ coins : 4x 0.5*3x + 0.2 * 8x + 1*4x = 355 7.1x = 355 X = 50 Number of 50 cents 3x = 150 |
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Let number of $1 coins be 4x Then number of 20 cent coints = 8x Number of 50 cent coins = 3x Total value = 355 = 4x + 1.6x + 1.5x = 7.1x x = 50 Thus there are 150 50 cent coins in the box |
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Of course, the question doesn't specify that there are no other denominations of coins in the box. So it could equally well be 3 50-cent coins, 8 20-cent coins, 4 $1 coins and 3479 10-cent coins. :) |
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Let there are 8x 20 cent coins in the box. So,there are 3x 50 cent coins & 4x $1 coins in the box. The total value of the coins are $(0.2*8x+0.5*3x+1*4x)=$7.1x By question, 7.1x=355 or,x=355/7.1=3550/71=50 So the required number of 50 cent coins in the box is=3x=3*50=150[Answer] |
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Let the number of 20-cent = x Then 50-cent coins = 3x/8 and 1 dollar coins = x/2 Therefore x/5 + 3x/16 + x/2 = 355 or 16x + 15x + 40x = 355 or 71x = 28400 so x = 400 50-cent coins = 3x/8 = 3×400÷8 = 150 |
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