Answer:
26 candy bars and 12 sodas
Step-by-step explanation:
This problem can be solved by a simple system of equations
I am going to call x the number of candy bars that Sally bought and y the number of sodas that Sally bought.
The fact that she bought 38 itens means the x + y = 38.
She spent $50.38. The value she spent is the sum of the number of candy bars multplied by the value of the candy bar and the number of sodas multiplied by value of a soda. So 1.25x + 1.49y = 50.38
So we have to solve the following system:
1)x + y = 38
2)1.25x + 1.49y = 50.38
From 1), we have that x = 38 - y. I am going to replace it in 2)
1.25(38-y) + 1.49y = 50.38
-1.25y + 1.49y = 50.38 - 47.5
0.24y = 2.88
y = 12.
Sally bought 12 sodas.
In 1: x = 38-y = 38-12 = 26
Sally bourght 26 candy bars
Answer: 102 children and 41 adults swam at the pool that day.
Step-by-step explanation:
Let x represent the number of children that swam at the public pool that day.
Let y represent the number of adult that swam at the public pool that day.
On that certain hot summer's day, 143 people used the public swimming pool. It means that
x + y = 143
The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $219.75. It means that
1.25x + 2.25y = 219.75- - - - - - - - -1
Substituting x = 143 - y into equation 1, it becomes
1.25(143 - y) + 2.25y = 219.75
178.75 - 1.25y + 2.25y = 219.75
- 1.25y + 2.25y = 219.75 - 178.75
y = 41
x = 143 - y = 143 - 41
x = 102
