Respuesta :
Answer:
Step-by-step explanation:
Figure out the number of yellow beans in each bag:
Bag A: 0.5*26 = 13 beans
Bag B: 0.25*28 = 7 beans
Bag C: 0.2*30 = 6 beans
The total number of beans in the bowl: 26+28+30 = 84
Total number of yellow beans: 13+7+6 = 26
Percentage of yellow beans: 26/84 *100 = 30.9523
Rounded answer: 31%
Answer:
The percentage of yellow beans in the bowl of 84 is approximately 31%.
Step-by-step explanation:
- We are given with a word problem
- We are asked to find the total percentage of yellow jelly beans
- We can do this two steps
Step 1: Finding the number of yellows beans in each bags
Step 2: Finding the total percentage of yellow beans
Step 1 of 2
We are given that the three bags contain 26,28 and 30 beans totally in which the percent of yellow beans are 50%, 25% and 20% respectively.
We have to find the number of yellow beans in each bag.
[tex]$=\frac{50}{100} \times 26$[/tex]
The number of yellow beans in first bag
[tex]$\begin{aligned}&\frac{1}{2} \times 26=13 \\&=\frac{25}{100} \times 28\end{aligned}$[/tex]
The number of yellow beans in second bag
[tex]$\begin{aligned}&\frac{1}{4} \times 28=7 \\&=\frac{20}{100} \times 30 \\&\frac{1}{5} \times 30=6\end{aligned}$[/tex]
The number of yellow beans in third bag
Step 2 of 2
From the first step we got the number of yellow beans in each bags.
The total number of yellow beans in the bowl =13+7+6
The total number of beans in the bowl
[tex]$\begin{aligned}=26 &+28+30 \\=& 84 \\&=\frac{26}{84} \times 100\end{aligned}$[/tex]
The percentage of yellow bean in the bowl
[tex]$\begin{gathered}\approx 0.3095 \times 100 \\\approx 0.31 \times 100 \\\approx 31\end{gathered}$[/tex]
