Question

ASHANTI AND MARIA WENT TO THE STORE TO BUY SNACKS FOR THEIR BACK TO SCHOOL PARTY. THEY BOUGHT BAGS OF CHIPS,PRETZELS,NACHOS. THEY BOUGHT FOUR TIMES AS MANY BAGS OF PRETZELS AS BAGS OF CHIPS, AND THREE FEWER BAGS OF NACHOS THAN BAGS OF PRETZELS. IF x REPRESENTS THE NUMBER OF BAGS OF CHIPS THEY BROUGHT, EXPRESS, IN TERMS OF x, HOW MANY BAGS OF SNACKS THEY BROUGHT IN ALL

Answer 1

Answer:X(2X-23)/(X-12)

Explanation:

C = Chips = X

P = Pretzels

N = Nachos

First: X (number of bags of Chips)

Second: 4P=X (number of bags of pretzels)

Third: P=(P-3)N (number of bags of Nachos)

we need to simplify them and add them.

they bought:

X + 4P + (P-3)N in total

from the Nachos we can see: N= P/(P-3)

and from the Pretzels: 4P=X X=4P Therefore P=X/4

Also: N=(X/4)/((X/4)-3)

Replace:

X+ X + (X/4)/ ((X/4)-3)

2X+ 4/X/((X/4)-3) = 2X+(X/4)/((x-12)/4)

2X+X/4*4/(X-12)

2X+X/(X-12)

(2X*(X-12)+X)/(X-12)

(2X^2-24X+X)/(X-12)

X*(2X-23)/(X-12)