Question

At Katya's fruit stand, a basket of strawberries costs $4 and a basket of raspberries costs $9. In one morning, Katya sells 96 baskets for $644. How many baskets of strawberries were sold

Answer 1

44 baskets of strawberries are sold

Solution:

Let "a" be the number of baskets of strawberries sold

Let "b" be the number of raspberries sold

Cost of 1 basket of strawberries = $ 4

Cost of 1 basket of raspberries = $ 9

96 baskets were sold. Therefore, we can say,

number of baskets of strawberries + number of raspberries sold = 96

a + b = 96

b = 96 - a ------------- eqn 1

In one morning, Katya sells 96 baskets for $644

Thus we frame a equation as:

$a \times 4 + b \times 9 = 644$

4a + 9b = 644 ----------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

4a + 9(96 - a) = 644

4a + 864 - 9a = 644

5a = 864 - 644

5a = 220

Divide both sides by 5

a = 44

Thus 44 baskets of strawberries are sold