Answer :
Answer:
Strawberries sold 44 baskets
Raspberries sold 52 baskets
Step-by-step explanation:
[tex]4x + 9y = 644 \\ x + y = 96 \\ 4x + 4y = 384 \\ 5y = 260 \\ y = 52 \\ x = 44[/tex]
Answer: 44 baskets of strawberries were sold.
Step-by-step explanation:
Let x represent the number of basket of strawberries that were sold.
Let y represent the number of basket of raspberries that were sold.
In one morning, Katya sells 96. This means that
x + y = 96
At Katya’s fruit stand, a basket of strawberries costs $4 and a basket of raspberries costs $9. The total amount gotten from all the baskets sold is $644. It means that
4x + 9y = 644 - - - - - - - - - - - -1
Substituting x = 96 - y into equation 1, it becomes
4(96 - y) + 9y = 644
384 - 4y + 9y = 644
- 4y + 9y = 644 - 384
5y = 260
y = 260/5 = 52
x = 96 - y = 96 - 52
x = 44