D. The measure of TRU is 72
See attachment for the answer.
Answer:
The food store used 3 lbs of clusters, 6 lbs of granola, and 3 lbs of raisins.
Step-by-step explanation:
Given that:
A food store makes a 12-lb mixture of granola, clusters, and raisins.
The cost of granola = 1.00 per pound
The cost of clusters = 3.00 per pound
The cost of raisins = 2.00 per pound
Let granola be = g; cluster be c and raisins be r
Then, g + c + r = 12
Similarly, the mixture calls for twice as much granola as clusters.
2c + c + r = 12
3c + r = 12
r = 12 - 3c
2c(1) + 3c + 2r = 21
2c + 3c + 2r = 21
5c + 2r = 21
5c + 2(12 -3c) = 21
5c + 24 - 6c = 21
24 - c = 21
-c = 21 - 24
c = 3
Thus, cluster c = 3 lbs
granola = 2(c) = 2(3) = 6 lbs
raisins = 12 - 3c
= 12 - 3(3)
= 12 - 9
raisins = 3 lbs
