{"id":244606,"date":"2025-07-05T09:07:55","date_gmt":"2025-07-05T09:07:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=244606"},"modified":"2025-07-05T09:07:57","modified_gmt":"2025-07-05T09:07:57","slug":"the-frosty-ice-cream-shop-sells-sundaes-for-2-and-banana-splits-for-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/05\/the-frosty-ice-cream-shop-sells-sundaes-for-2-and-banana-splits-for-3\/","title":{"rendered":"The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3"},"content":{"rendered":"\n

The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156.<\/p>\n\n\n\n

The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Let the number of banana splits sold be represented by xx. Since the shop sold 8 more sundaes than banana splits, the number of sundaes sold is x+8x + 8.<\/p>\n\n\n\n

The price of a sundae is $2 and the price of a banana split is $3. The total revenue from sundaes is therefore 2(x+8)2(x + 8), and the total revenue from banana splits is 3x3x.<\/p>\n\n\n\n

The total revenue for the day is $156. Therefore, the equation for the total revenue is: 2(x+8)+3x=1562(x + 8) + 3x = 156<\/p>\n\n\n\n

Now, expand and simplify the equation: 2x+16+3x=1562x + 16 + 3x = 156 5x+16=1565x + 16 = 156<\/p>\n\n\n\n

Next, subtract 16 from both sides of the equation: 5x=1405x = 140<\/p>\n\n\n\n

Now, divide both sides by 5 to solve for xx: x=28x = 28<\/p>\n\n\n\n

So, 28 banana splits were sold. To find the number of sundaes sold, we substitute x=28x = 28 into x+8x + 8: 28+8=3628 + 8 = 36<\/p>\n\n\n\n

Therefore, the shop sold 36 sundaes.<\/p>\n\n\n\n

To check, calculate the total revenue:<\/p>\n\n\n\n