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Edi bought some sweets. On Thursday, he gave some sweets to his friends. The number of sweets given on Thursday was 3/5 the number of sweets left. On Friday, he gave 130 sweets from the sweets left on Thursday to his neighbours. The total number of sweets given over the 2 days was 4 more than 9/16 of the number of sweets Edi had at first. 
(a) How many sweets did Edi buy?

(b) How many sweets were left after the two days?

 Oct 11, 2023
 #1
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Call the original number of sweets = S

Call the sweets he gave to his friends on Thursday = T

(S - T) = sweets left after Thursday   

Sweets given on Thursday = (3/5) of what was left

T = (3/5)(S-T)    simplify

(8/5)T = (3/5)S

8T = 3S

T = (3/8)S        (1)

 

 

Sweets  given on Friday  = 130

 

Sweets given over 2 days = 4 more the (9/16) of what he started with

T + 130 =  (9/16)S + 4

T + 126 = (9/16)S           (2)

 

Sub (1) into (2)

(3/8)S + 126 = (9/16)S

126 = (9/16 - 3/8)S

126 = (9/16 - 6/16)S

126 =  (3/16)S

S = 126 * 16/3 =   672  = number of sweets Edi had at first

 

Sweets given after 2 days  = 672 - [ (9/16)(672) + 4 ]  =  (7/16)(672) - 4  =  290

 

Sweets left after 2 days  = 672 - 290  =  382

 

cool cool cool

 Oct 11, 2023

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