jamal's school is having a bake sale today at lunch and he agreed to bring four dozen cupcakes in for sale. to catch his bus he needs to be out of his house at 7:50 a. m. he started icing cupcakes at 7:40 a. m. at a rate of 3 cupcakes per minute. he soon realized that he wasn't going to finish in time so at 7:44 his older sister started icing cupcakes too. she iced them at a rate of 4 cupcakes per minute. as they iced the cupcakes they placed them directly in the boxes that he would carry on the bus. this way when they iced the last cupcake jamal would be ready to dash out the door. did they finish in time for jamal to catch the bus?

They will finish in time for Jamal to catch the bus.

Step-by-step explanation:

Jamal agreed to bring four dozen i. e. 48 cupcakes in for sale.

He started icing cupcakes at 7:40 a. m. at a rate of 3 cupcakes per minute up to 7:50 a. m. that is the time when he needs to be out of his house to catch his bus.

So, with in this 10 minutes (7:40 a. m. to 7:50 a. m.) he would be able to make (10 * 3) = 30 cupcakes.

Now, at 7:44 his older sister started icing cupcakes too. she iced them at a rate of 4 cupcakes per minute.

So, in this 6 minutes (7:44 a. m. to 7:50 a. m.) she will be able to make (4 * 6) = 24 cupcakes.

Therefore, in total Jamal will be able to made (30 + 24) = 54 cupcakes.

Since, 54 > 48 so, they will finish in time for Jamal to catch the bus. (Answer)