+12 There are some apple-flavoured and lemon-flavoured sweets in a jar. If 75 apple-flavoured sweets are removed from the jar, the total number of sweets left with be 6 times the number of apple-flavoured sweets left. If 60 lemon-flavoured sweets are remove from the jar, the total number of sweets left will be 3 times the number of apple-flavoured sweets left. How many sweets are there in the jar?
+137 Lets use the variables A and L.
There is, A - 75 + L = 6(A - 75).
Also, A - 75 + L - 60 = 3(A - 75).
solving the equations, I get A = 95, and L = 100.Therefore, the total is 195.
+318 Apple - Flavoured sweets = A
Lemon - Flavoured sweets = L
(A - 75) + L = 6 (A - 75) , ( L - 60) + A = 3A
A - 75 + L = 6A - 450 L - 60 + A = 3A
SA - L = 375 ---- 1 2A - L = -60 ---- 2
Via Elimination : 1 - 2 : 3A = 435
A = 435/3
= 145
L = SA - 375
= 725 - 375
= 350
Total no-of sweets = 145 + 390
= 495
