9514 1404 393
Answer:
$5
Step-by-step explanation:
Let the variables A, B, C, D represent a sack of apples, a bunch of bananas, a cantaloupe, and a carton of dates, respectively. Then the problem statement gives rise to 3 equations:
A +B +C +D = 20
D = 2A
C = A -B
Substituting the last two equations into the first gives ...
A +B + (A -B) +2A = 20
4A = 20 . . . simplify
A = 5 . . . . . divide by 4
Substituting this into the last equation, we have ...
C = 5 -B
B + C = 5 . . . . add B
The cost to purchase a bunch of bananas and a cantaloupe is $5.
