A punch contains 60% of grape juice and the rest is lemon - lime soda ( 2 liters).
Part A:
An equation is:
0.6 x + 2 = x,
where x stays for the liters of punch.
Part B:
x - 0.6 x = 2
0.4 x = 2
x = 2 : 0.4
x = 5 liters
Grape juice = 5 - 2 = 3 liters.
Answer: There are 3 liters of grape juice in the punch.
set up an equation for the perimeter
l = length w = width
2l + 2w = 64
set up another equation as you know the length is 3 times the width
w = 3l
subsitute w = 3l into the 2l + 2w = 64
2l + 2(3l) = 64
solve for l
2l + 6l = 64
8l = 64
<em><u>length</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>8</u></em>
subsitute into w = 3l
w = 3(8)
<em><u>width</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em><em><u>4</u></em>
Answer:
3 more students need to sign up
Step-by-step explanation:
Let the equal number of students in 9 teams be x.
Total number of signed up students = 690.
Let t be the required number of students to be signed.
Therefore, 9x = 690+t.
This means, 690+t is a multiple of 9.
The least value of t to make 690+t, a multiple of 9 is 3 and hence,
= 77
Hence, 3 more students need to sign up and each of the 9 teams consists of 77 students.