9514 1404 393
Answer:
- 17 singles
- 24 doubles
- 11 triples
Step-by-step explanation:
Let s, d, t represent the numbers of singe, double, and triple cones sold. The problem statement tells us three relationships.
s + d + t = 52 . . . . . . Danielle sold 52 cones one day
d -2t = 2 . . . . . . . doubles is 2 more than twice the number of triples
0.89s +1.19d +1.39t = 58.98 . . . . total amount of sales
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There are many ways to solve this set of equations. A graphing calculator can quickly tell you the solution is ...
(s, d, t) = (17, 24, 11)
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If you want to solve this by hand, it may work well to use substitution.
The second equation gives an expression for d:
d = 2t +2
The first equation gives an expression for s that can be written in terms of t.
s = 52 -d -t
s = 52 -(2t +2) -t = 50 -3t
Using these in the last equation, we have ...
0.89(50 -3t) +1.19(2t +2) +1.39t = 58.98
1.10t = 12.10 . . . . . . . . collect terms, subtract 46.88
t = 11 . . . . . . . . . . . . . . divide by 1.10
d = 2(11) +2 = 24
s = 50 -3(11) = 17
Danielle sold 17 singles, 24 doubles, and 11 triple cones.
