501 Questions To Master GED Test Mathematics_pag83

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501 Questions to Master the GED® Mathematical Reasoning Test
 103. The correct answer is choice a. If x represents the discount 
provided by a single coupon, then 2x represents the combined 
discount provided by both. Given the prices before and after, 
the following equation can be written and solved:
 8.3 – 2x = 7
 –2x = –1.3
 x = 0.65
 Choice b is incorrect. If each coupon gave a 90-cent discount, the 
final price would have been $8.30 – $1.80 = $6.50.
 Choice c is incorrect. This is the value of both coupons together.
 Choice d is incorrect. This is twice, rather than half, the value of 
the two coupons together.
 104. The correct answer is 8.1%. The percent increase can be found 
by finding the difference between the two prices and then dividing 
by the original price:
 334.99 – 309.99_____________
309.99 = 0.0806
 Multiplying by 100 to convert this to a percentage yields 8.06%. 
Rounded, this is 8.1%.
 105. The correct answer is choice c. First determine the unit price 
of Ava’s organic green grapes by dividing $9 by 2.5 pounds: 
$9___
2.5 = $3.60. Then determine the unit price for Liam’s organic 
red grapes: $12___
3.2 = $3.75. Last, subtract the unit prices to show that 
Liam’s grapes cost $0.15 more per pound.
 Choice a is incorrect because $3.00 is not the difference in price 
per pound but is simply the difference between the two different 
totals that Ava and Liam spent on grapes. Unit price must be used.
 Choice b is incorrect because this is the average price between the 
two types of grapes since you added $9 and $12 and then divided 
that sum by the total number of pounds of grapes, which was 5.7 
pounds. You must find each unit price separately.
 Choice d is incorrect because per pound, Liam’s grapes cost only 
$0.15 more, and not $0.25 more.
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