Answer:
The answer is below
Step-by-step explanation:
Let x represent the price of grapefruits per box, y represent the price of strawberries per box and z represent the price of avocados per box.
The money spent by Alyssa who buys two boxes of strawberries and three boxes of avocados and spends $23 is given by the equation:
2y + 3z = 23 (1)
The money spent by Landon who buys three boxes of grapefruit and four boxes of strawberries and spends $19 is given by the equation:
3x + 4y = 19 (2)
The money spent by Tina who buys 7 boxes of grapefruit and 5 boxes of avocados and spends $51 is given by the equation:
7x + 5z = 51 (3)
Solving equation 1, 2 and 3 simultaneously gives:
x = 3, y = 2.5 and z = 6.
Therefore the cost of grapefruits per box is $3, cost of strawberries per box is $2.5 and cost of avocados per box is $6
