Respuesta :
Answer:
10 jelly beans.
Step-by-step explanation:
Let x be ounces of jelly beans.
We have been given that a jar contains 10 ounces of gumdrops, 3 ounces of licorice bits, and 3 ounces of jelly beans.
To make weight of jelly beans be 50% of total assortment, we will add x ounces of jelly beans to 3 so that it will be 50% of total assortment plus x. We can represent this information in an equation as:
[tex]3+x=\frac{50}{100}(10+3+3+x)[/tex]
Let us solve for x.
[tex]3+x=0.50(16+x)[/tex]
[tex]3+x=8+0.5x[/tex]
[tex]3-3+x=8-3+0.5x[/tex]
[tex]x=5+0.5x[/tex]
[tex]x-0.5x=5+0.5x-0.5x[/tex]
[tex]0.5x=5[/tex]
[tex]\frac{0.5x}{0.5}=\frac{5}{0.5}[/tex]
[tex]x=10[/tex]
Therefore, 10 jelly beans must be added to make the assortment 50 percent jelly beans in weight.
Let us cross check our answer.
[tex]\frac{3+10}{3+3+10+10}=\frac{13}{26}=0.5=50\%[/tex]
