214 people used a public swimming pool. $1.50 for kids and $2.25 for adults. the receipt totaled to $390 how many children and how many adults went the the public pool that day?

the number of kids that used the public pool that day is 122

the number of adults that used the public pool that day is 92

Step-by-step explanation:

Let x represent the number of kids that used the public pool that day.

Let y represent the number of adults that used the public pool that day.

214 people used a public swimming pool. This means that

x + y = 214

1.50 for kids and $2.25 for adults. The receipt totaled to $390. This means that

1.5x + 2.25y = 390 - - - - - - - - - -1

Substituting x = 214 - y into equation 1, it becomes

1.5x

1.5(214 - y) + 2.25y = 390

321 - 1.5y + 2.25y = 390

- 1.5y + 2.25y = 390 - 321

0.75y = 69

y = 69/0.75 = 92

Substituting y = 92 into x = 214 - y, it becomes

x = 214 - 92 = 122

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: