I don't understand how to get equation for this
Annie was selling girl guide cookies she sold twice as many vanilla cookies as she did chocolate. She sold 75 more boxes of mint cookies than she did chocolate. Total sale of cookies = 675 how many boxes of each type of cookie did she sell?
Vanilla = 5 dollars per box
Chocolate = 3 dollars per box
Mint = 2 dollars per box
M=C+75
V=2C
5V+3C+2M=675
5*2c+3c+2(C+75)=675
10C+3C+2C=675-150
15C=525
C=35 boxes
V=70 boxes
M=110 boxes
check that
Thank you so much !!
To find the number of boxes for each type of cookie, you can use algebraic equations.
Let's assume that Annie sold x boxes of chocolate cookies. As per the problem, she sold twice as many vanilla cookies, so the number of vanilla cookies sold would be 2x. Additionally, she sold 75 more boxes of mint cookies than chocolate cookies, making the number of mint cookies sold x + 75.
To find the total sale of cookies, you can multiply the quantity of each type of cookie sold by their respective prices, and add them all up:
Total sale = (Price of chocolate cookie * Number of chocolate cookies) + (Price of vanilla cookie * Number of vanilla cookies) + (Price of mint cookie * Number of mint cookies)
Substituting the given prices:
675 = (3 * x) + (5 * 2x) + (2 * (x + 75))
Now, solve this equation to find the value of x, which represents the number of boxes of chocolate cookies sold. Once you have the value of x, you can easily find the number of boxes for each type of cookie: 2x for vanilla and x + 75 for mint.