Ascience test, which is worth 100 points, consists of 24 questions. each question is worth either 3 points or 5 points. if x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
what does the solution of this system indicate about the questions on the test?
the test contains 4 three-point questions and 20 five-point questions.
the test contains 10 three-point questions and 14 five-point questions.
the test contains 14 three-point questions and 10 five-point questions.
the test contains 20 three-point questions and 8 five-point questions.

The test contains 10 three-point questions and 14 five-point questions

Step-by-step explanation:

Given equations are:

From 2nd equation we can deduce that x represents number of 3-point questions and y represents number of 5-point questions.

Using the substitution method:

From x+y = 24

y= 24-x

Putting this valu of y in 3x+5y=100

Hence, the correct answer is:

The test contains 10 three-point questions and 14 five-point questions..

asdfghkl

step-by-step explanation:

asdfghkl

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls