How Do You Solve Mixture Word Problems?
Many mixture word problems involve combining two or more items and then determining either the percentage or the price of the resulting mixture. To solve mixture word problems, you need to find some sort of relationship about the mixture and then put this information into an equation. Create a 20 pound mixture of strawberry gumdrops and pineapple jellybeans where the gumdrops sell at $0.95 per pound and the jellybeans sell at $1.20 per pound. Calculate the pounds of each candy you should use in the mix if you want to sell this mix at $1.10 per pound. Let X represent the amount of gumdrops in pounds. Since gumdrops sell for $0.95 per pound, then you find the total cost in dollars by multiplying X pounds and $0.95/pound i.e. (0.95/pound) x(X pounds.) Let 0.95 X equal A. Represent the amount of jellybeans in pounds as (20-X) because we know the total mix is 20 pounds. Similarly as in Step 2, the total cost in dollars for the jellybeans is (1.20) x (20-X) and designate this as B. Find the