Kevin is mixing a wild bird feed . He needs to use seeds a , b , c in the ratio 3:5:1 by weight.
Kevin needs to make 360g of the seed mix. He has 150 g of seeds A , 205 g of seeds B and 30 g of seed C.
does he have enough seeds
3+5+1 = 9
360/9 = 40 -- multiply the ratios by 40 to get
3:5:1 = 120:200:40
Looks like he's 10g short on C seeds
If you look at the ratio one way you ahve
3x + 5x + 1x = 360
So each x is worth ....
9x = 360 divide both sides by 9
x = 40
the ratio is 3x:5x:1x
So the numbers you need are 3(40) of birdseed A
5(40) of birdseed B
1(40) of birdseed C...
so... do you have enough??
Again,... this is just one way to solve it (gr 9 easy way)
To determine if Kevin has enough seeds to make the required 360g of the seed mix, let's calculate the amount of each seed needed based on the given ratio.
The ratio of seeds A, B, and C is 3:5:1. This means that for every 3 parts of seed A, Kevin needs 5 parts of seed B and 1 part of seed C.
To find the total number of parts in the ratio, add the numbers together: 3 + 5 + 1 = 9.
Now, we can determine the weight of each type of seed required:
- Seed A: (3/9) * 360g = 120g
- Seed B: (5/9) * 360g = 200g
- Seed C: (1/9) * 360g = 40g
Next, let's compare these required amounts with the amounts Kevin currently has:
- Kevin has 150g of seed A, which is more than the required 120g.
- Kevin has 205g of seed B, which is more than the required 200g.
- Kevin has 30g of seed C, which is less than the required 40g.
Based on these calculations, Kevin has enough of seeds A and B, but he does not have enough seed C to make the desired mixture.
In summary, Kevin has enough seeds A and B, but not enough seed C to make the 360g wild bird feed according to the given ratio. He would need additional seed C to complete the mixture.