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28. If  Sarah spent $ u every day, she spent $ 3u on the third day and $ 8u on the eight day. Her mother gave Sarah $ ( 20 + 8u ) initially.

20 + 8u – 3u = ( 20 + 8u ) * 75% 

20 + 5u = ( 20 + 8u ) * 3/4                  

20 + 5u = 15 + 6u

u = 5

20 + 8u = 60

Her mother gave her $60 dollars initially. 

29. If  length of AB is u cm and since 1/4 of rectangle ABCD is shaded, length of EB = u/4 or AE = 3u/4

Perimeter of ABCD = Perimeter of AEFD + 12

Since they have the same width,

2u = 2 * AE +12

2u = 2* 3u/4 + 12

2u = 3u/2 + 12           multiply both sides by 2

4u = 3u + 24

u = 24

3u/4 = 18

Length of AE is 18 cm

 

 

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