
They already give you the number of boys {14}, so all you need to do is subtract 30 - 14 which will give you the ratio of girls.
It does this because 14 takes up
of the seventh grade class.

So your answer is going to be 14:16 un-simplified.
However, since they ask you to put it in the simplest terms, we are going to simplify 
You can do this by dividing both numbers by 2.
= 

or 

D= # of dimes
q= # of quarters
QUANTITY EQUATION:
d + q= 64
COST EQUATION:
0.10d + 0.25q= $9.25
STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2
(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40
STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q
Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40
0.15q= 2.85
divide both sides by 0.15
q= 19 quarters
STEP 3:
substitute q value in step 2 into either original equation to find d value
d + q= 64
d + 19= 64
subtract 19 from both sides
d= 45 dimes
CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25
ANSWER: There are 45 dimes and 19 quarters.
Hope this helps! :)
Complete Question: In Rhombus QRST, diagonals RT and QS are drawn. If m<TSR = 104°, then which of the following is the measure of <SRT?
*the diagram of the rhombus is in the attachment below
Answer:
m<SRT = 38°
Step-by-step explanation:
A rhombus has 4 equal sides. Also, diagonals of a rhombus bisect each other Therefore:
∆RST form the rhombus given is an isosceles triangle with two equal lengths, ST and SR, and two equal base angles, <T and <R.
Given that <TSR = 104°, thus,
m<SRT = (180 - 104)/2 = 76/2
m<SRT = 38°
2/3 = (z - 6) / 15
cross multiply
3(z - 6) = 2(15)
3z - 18 = 30
3z = 30 + 18
3z = 48
z = 48/3
z = 16 <===
(14×2)÷7-3+9=10 because 14x2=28, 28÷7=4, 4-3=1+9= 10