Question
Tanya had some sweets which she distributed among her five friends $A, B, C, D$ and $E$. She gave $x$ sweets to $A$. To $B$, she gave 10 sweets less than twice of those she gave to $A$. To $C$, she gave 4 sweets more than 4 times of those she gave to $A$. To $D$, she gave $(x+12)$ sweets more than those she gave to $B$. To $E$, she gave $(11-x)$ sweets less than those she gave to $C$. Tanya still had 16 sweets left.
(1) If $C$ got 28 sweets, how many sweets did Tanya have in all, in the beginning?
(a) 79$\quad$(b) 85$\quad$(c) 91$\quad$(d) 95
(2) How many more sweets does $E$ have than $D$ ?
(a) $(-2 x+9)$$\quad$(b) $(2 x-9)$$\quad$(c) $(2 x-5)$$\quad$(d) $(-2 x+5)$
(3) $B$ and $C$ mixed their sweets together and then distributed them equally between themselves. Which of the following algebraic expressions denotes the number of sweets that each of them got?
(a) $3(x-1)$$\quad$(b) $3(x-2)$$\quad$(c) $3(x+1)$$\quad$(d) $3(x+2)$
(4) Had Tanya distributed all the sweets equally amongst her five friends then how many toffees would each friends get?
(a) $\left(5 x-\frac{11}{3}\right)$$\quad$(b) $(3 x+1)$$\quad$(c) $\left(3 x-\frac{11}{3}\right)$$\quad$(d) $(3 x-1)$
(1) If $C$ got 28 sweets, how many sweets did Tanya have in all, in the beginning?
(a) 79$\quad$(b) 85$\quad$(c) 91$\quad$(d) 95
(2) How many more sweets does $E$ have than $D$ ?
(a) $(-2 x+9)$$\quad$(b) $(2 x-9)$$\quad$(c) $(2 x-5)$$\quad$(d) $(-2 x+5)$
(3) $B$ and $C$ mixed their sweets together and then distributed them equally between themselves. Which of the following algebraic expressions denotes the number of sweets that each of them got?
(a) $3(x-1)$$\quad$(b) $3(x-2)$$\quad$(c) $3(x+1)$$\quad$(d) $3(x+2)$
(4) Had Tanya distributed all the sweets equally amongst her five friends then how many toffees would each friends get?
(a) $\left(5 x-\frac{11}{3}\right)$$\quad$(b) $(3 x+1)$$\quad$(c) $\left(3 x-\frac{11}{3}\right)$$\quad$(d) $(3 x-1)$
