Semester 1:
let the number of students in the art class be 2a, and the number of the students in the gym class be 7a. (check: the ratio is 2a:7a = 2:7)
so the total number of students is 9a.
semester 2:
the 9a students are go to the art class and gym class at a a ratio of 5: 4,
so 5a students go to the art class, and 4a students go to the gym class.
<span>75 students are in art class in second semester means that 5a=75,
so a=75/5=15.
In the 1st semester the number of students was:
art class: 2a=2*15=30
gym class: 7a=7*15=105</span>
Answer:
The number of pennies in the bank is 42
Step-by-step explanation:
Solution:
Given that ratio of pennies to quarters in a piggy bank is 14 : 3
Let 14x be the number of pennies in a piggy bank
Let 3x be the number of quarters in the piggy bank
To find: number of pennies
Given that there are 51 quarters
number of pennies in piggy bank + number of quarters in piggy bank = 51
14x + 3x = 51
17x = 51
x = 3
number of pennies = 14x = 14(3) = 42
Thus the number of pennies in the bank is 42
Make sure you have a common denominator first so it would be
9/16x = 12/16 (you multiply 3/4 by 4/4 to get the bottom to equal 16)
Afterwards, times 16 on each side to get rid of it. Then you get 9x = 12
By dividing 9 on each side to isolate the variable, you would get x = 12/9
Afterwards, simplify it.
x = 4/3
Step-by-step explanation:

thriller or comedy
0.14 + 0.28 <em>"or" means to add, "and" means to multiply</em>
= 0.42
= 42%
Answer: C