Answer:
that is the solution to the question
The number of cones and sundaes sold at the ice cream parlor is 88 and 84 respectively.
<h3>Equation</h3>
There are three basic types of equation in mathematics. Namely:
- Linear equations
- Quadratic equations
- Simultaneous equations
- Cost of cones = $1.10
- Cost of sundaes = $2.35
- Total sold = 172
- Total cost = $294.20
- Number of cones = c
- Number of sundaes = s
c + s = 172
1.10c + 2.35s = 294.20
from (1)
c = 172 - s
substitute
1.10c + 2.35s = 294.20
1.10(172 - s) + 2.35s = 294.20
189.2 - 1.10s + 2.35s = 294.20
- 1.10s + 2.35s = 294.20 - 189.2
1.25s = 105
s = 105 ÷ 1.25
s = 84
Recall,
c + s = 172
c + 84 = 172
c = 172 - 84
c = 88
Learn more about equations:
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Answer:
Trey lives 384 feet.
Step-by-step explanation:
Let the average rate be represented by s, and the distance by d.
speed =
⇒ distance = speed x time
i.e d = s x t
On his first trip,
d = s x 8
d = 8s ............ 1
on his trip home, the average rate was 16 miles per hour faster, so that;
d = (s + 16) x 6
d = 6s + 96 ............ 2
Equation 1 and 2, we have;
8s = 6s + 96
8s - 6s = 96
2s = 96
s = 48
The average rate is 48 miles per hour.
Thus from equation 1 (also equation 2 can be used),
d = 48 x 8
= 384
Therefore, Trey lives 384 feet from the mountains.