See attached. The trick is to use similar triangles.
Create a system if equations to solve this.
First equation:
25m + 24e = 220
Second equation:
m + e = 9
Then you must solve the second equation for a variable.
Change m + e = 9 to e = 9 - m.
Then substitute (9 - m) for e in the first equation.
So 25m +24e = 220 becomes 25m + 24(9 - m) = 220.
Now you can solve the first equation because the only variable in it is m.
25m + 24(9 - m) = 220 (Original equation)
25m + 216 - 24m = 220 (Distribute)
m + 216 = 220 (Combine like terms)
m = 4 (Simplify)
Now plug in 4 for m in the second equation.
m + e = 9 (Original equation)
(4) + e = 9 (Substitute)
e = 5 (Simplify)
m represents Math Books and e represents English Books, so Nicole purchased 4 Math Books and 5 English Books.
Answer:
250 nickles
Step-by-step explanation:
Nickles and dimes are coins with different currency values. One nickel(N) is equal to 5 cents while one dime(D) is equal to 10 cents. The ratio of nickel:dime is 5:7, to put into the equation it will be:
N/D= 5/7
7N=5D ---> 1st equation
There are 350 dimes, the equation will be:
D=350 ----> 2nd equation
We can find out the number of nickels by substitute the 2nd equation into the first. The calculation will be
7N=5D
N= 5D/7
N=5(350)/7
N= 250
It has to be 36 because it the same stick as the other stick that is telling 36
You need to know the length of two sides and the degree of one angle.
