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Question

There were 30 more 20 cents coins than $1 coins in a box. the difference in value between all the $1 coins and all the 20 cents coins is $90. express the number of $1 coins as a fraction of the number of 20 cent coins. give your answer in the simple form.

Answer

$0.20 x 30 = $6

$90 – $6 = $84

$1 – $0.20 = $0.80

$84 / $0.80 = 105 

105 + 30 = 135

105/135 = 7 : 9

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There were 30 more 20 cents coins than $1 coins in a box. the difference in value between all the $1 coins and all the 20 cents coins is $90. express the number of $1 coins as a fraction of the number of 20 cent coins. give your answer in the simple form.

0.2 (number of $1 coins + 30) +90 = number of $1 coin

0.2 number of $1 coins + 96 = number of $1 coin

Number of $1coins = 120

Number of 0.2 coints = 150

Fraction = 4/5

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This is a Quantity Amount question. 

   20cent $1 Total   
Quantity     1u + 30  1u  
Each  0.2  1  
Product   0.2u + 6  1u  

0.2u + 6 +90 = 1u           (amount of $1 more than 20 cent)

96 = 1u – 0.2u

0.8u = 96

1u = 96 ÷ 0.8 = 120

120 + 30 = 150

120 / 150 = 4/5

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Let no. of $1 coins = u

30 more 20 cent coins → 30 x $0.2 = $6

Value of $1 coins → $u

Value of 20 cent coins → $0.2u + $6

Difference in value → $u – $0.2u – $6

$4/5u = $90 + $6

4/5u = 96

u = 120

No. of $1 coins / No. of 20 cent coins → 120/150 → 4/5

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