A Cold Stone Creamery ice cream shop sells sundaes for $3.60 and banana splits for $4.25. The shop sells four times as many sundaes as banana splits. If total sales amounted to $3,730 last weekend, how many banana splits were sold? (Points : 2)
Let's assume that the number of banana splits sold is 'x'. Since the shop sells four times as many sundaes as banana splits, the number of sundaes sold would be 4x.
The cost of each sundae is $3.60 and the cost of each banana split is $4.25.
The total sales from sundaes would be 4x * $3.60 = 14.40x.
The total sales from banana splits would be x * $4.25 = 4.25x.
The total sales from both sundaes and banana splits is given as $3,730.
So, 14.40x + 4.25x = 3,730.
Combining like terms, we get 18.65x = 3,730.
Dividing both sides by 18.65, we get x = 200.
Therefore, 200 banana splits were sold.
To solve this problem, let's first set up some equations based on the information given:
Let's assume the number of banana splits sold is x.
According to the problem, the shop sells four times as many sundaes as banana splits, so the number of sundaes sold would be 4x.
Now, let's set up the equation for the total amount of sales:
Total sales = (price of sundaes x number of sundaes) + (price of banana splits x number of banana splits)
$3,730 = ($3.60 x 4x) + ($4.25 x x)
Let's simplify this equation:
$3,730 = $14.40x + $4.25x
Combining like terms, we get:
$3,730 = $18.65x
Now, let's isolate x by dividing both sides of the equation by $18.65:
x = $3,730 / $18.65
Using a calculator, we find that x ≈ 199.67.
Since we can't have a fraction of a banana split, the closest whole number would be 200.
Therefore, 200 banana splits were sold.
X Banana splits @ $4.25 each.
4x Sundaes @ $3.60 each.
4.25*x + 3.60*4x = 3730
X = 200.