Okay, so total dogs are 49.
So we know if x=large dogs and y=small dogs, then x+y=49.
Next we are told that there are 36 MORE small dogs than large dogs. We can take that more meaning addition, and x being our value for large dogs. So y=x+36.
After that we now know what value we can plug in for y. So x+x+36=49.
We can then simplify it to 2x+36=49.
Subtracting the 36 from both sides, leaves you with 2x=13.
Followed by dividing both sides by 2, gives you x=6.5. Or 6.5 large dogs.
Now we can plug this into our formula for the small dogs (y=x+36) to give us y=6.5+36, which simplifies to y=42.5. Or 42.5 small dogs. Which is our answer.
We can double check it by adding the small and large dogs together, 6.5+42.5, which gives us 49, our total entries.
Answer:
<span>112</span> or 1 to 12
Explanation:
The ratio is
<span><span><span>23</span>8</span>=<span>2<span>3⋅8</span></span>=<span>224</span>= 1/12</span>
Answer:
y=-1/2x+80
Step-by-step explanation:
Let x be the first number
Let y be the second number
x+y=61
x-y=37 --> x=37+y
(37+y)+y=61
37+2y=61
2y=61-37
2y=24
y=12
x+y=61
x+12=61
x=61-12
x=49
Therefore the numbers are 49 and 12
Hope I helped :)
Answer:
Let M represents the cost of 1 Math book and S represents the cost of 1 science book.
As per the statement:
The cost of 4 math books plus 1 science book is 4 more than the cost of 2 math books plus 3 science books.
"Cost of 4 Math books plus 1 science book" translated to 4M+S
"4 more than the cost of 2 math plus 3 science books " translated to 2M+3S+4
then;
4M+S = 2M+3S+4
Subtract 2M from both sides we get;
2M + S = 3S+4
Subtract S from both sides we get;
2M = 2S + 4
It is also given the cost of science book is $22.95
⇒
⇒2M = 49.9
Divide both sides by 2 we get;
therefore, the cost of the math book is $24.95
