Get on mathpapa is shows you the answer and how to explain it
x is case of almonds and y is case of walnuts.
Almonds are packaged 15 bags per case and walnuts are packaged 17 bags per case.
H-E-B orders no more than 200 bags of almonds and walnuts at a time.
So,
x + y < 200
where x and y refers to the number of bags
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H-E-B pays $24 per case of almonds and $27 per case of walnuts, but will not order more than $300 total at any one time.
But keep in mind that : Almonds are packaged 15 bags per case and walnuts are packaged 17 bags per case.
So,
24 * (x/15) + 27 * (y/17) < 300
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The constraints are:
x + y < 200
(24/15) x + (27/17) y < 300
So, the graph of the previous constraints is as following :
1. 
, then 
and triangles ADC and ACB are similar by AAA theorem.
2. The ratio of the corresponding sides of similar triangles is constant, so
.
3. Knowing lengths you could state that 
.
4. This ratio is equivalent to 
.
5. 
, then 
and triangles BDC and BCA are similar by AAA theorem.
6. The ratio of the corresponding sides of similar triangles is constant, so
.
7. Knowing lengths you could state that 
.
8. This ratio is equivalent to 
.
9. Now add results of parts 4 and 8:
.
10. c is common factor, then:
.
11. Since 
you have 
.
Each person gets 0.083333..... of the box of cereal. i got my answer by dividing 0.25 or 1/4 by three and the answer was 0.083333 repeating.
