Discover a wealth of knowledge and get your questions answered on IDNLearn.com. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.

Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes per hour, or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required ?

Sagot :

If 20 large cakes are needed, you'll need 4 helpers. To find this, you first need to find how many cakes 1 helper can make. Every hour, one helper can make 2 large cakes. If they have the kitchen for 3 hours, 6 large cakes can be made by one helper. This also means that 2 helpers make 12 cakes, 3 helpers can make 18 cakes, and 4 helpers can make 24 cakes. Since you can't have a fraction of a helper, 4 is your answer. For the 700 small cakes, you do the same thing. Every hour, 1 helper makes 35 small cakes. In 3 hours, 1 helper can make 105 small cakes. 2 can make 210, 3 can make 315, 4 can make 420, 5 can make 525, 6 can make 630, and 7 can make 735. The 700 small cakes takes 7 helpers and the 20 large cakes takes 4 helpers. Your total amount of helpers is 11.