Question

A nut mixture contains 15 lb. of peanuts and 9 lb. of cashews. Write the ratio in lowest terms

of cashews to peanuts.

Answer 1

The ratio of cashews to peanuts for a nut mixture containing 9 lb of cashews and 15 lb of peanuts, simplified to its lowest terms, is 3:5.

Step-by-step explanation:

The student asked to write the ratio of cashews to peanuts in lowest terms for a nut mixture containing 15 lb. of peanuts and 9 lb. of cashews.

To find this ratio, you divide the amount of cashews by the amount of peanuts and simplify if possible. The given amounts are 9 lb of cashews and 15 lb of peanuts.

The ratio of cashews to peanuts is 9 lb : 15 lb. To simplify this ratio, we look for the greatest common divisor of 9 and 15, which is 3. Dividing both terms by 3, we get:

9 lb ÷ 3 = 3 lb
15 lb ÷ 3 = 5 lb

So, the simplified ratio of cashews to peanuts is 3:5.