Problem: Carlos baked a dozen cupcakes for the village fete. Half the cakes had pink icing and half had blue icing. Two of the cakes with blue icing and 3 cakes that had pink icing had a cherry on top. The rest of the pink cakes and 1 of the blue cakes had chocolate sprinkles on. The cakes without cherries on top were in white cases and the rest were in green cases. How many cakes were in white cases?
1/2 pink and 1/2 blue so 6 pink cupcakes and 6 blue cupcakes
2 cakes blue icing
3 cakes pink icing and cherry
x pink cake(s) and 1 blue cake had chocolate sprinkles
Cakes w/ cherry white cases and cakes without cherry green cases
Solution: This is a problem where many unnecessary information is given, so we need to only use the information we need to solve this problem. To find how many cakes were in white cases, let us find how many cakes were in green cases. 5 cakes were in green cases because the problem stated, "two of the cakes with blue icing and 3 cakes that had pink icing had a cherry on top." So the number of cakes in white cases is 12 - 5 = 7 cupcakes.
Please don't be rude @guest with the "your mom" joke.
@SportzGuy2310 I agree with your answer! This is how I did it:
Let candy bar = c and bubble gum = b.
Now let's set up the equation: c+b = 1.50
And we are also given: c = 1+b
Now let's plug in c=1+b into c+b = 1.50
We get: 1+b+b = 1.50 ⟹ 2b+1 = 1.50 ⟹ 2b = 0.50 ⟹ b = 0.25
Therefore, the cost of a bubble gum is $0.25.
1. 6-8-10 is a pythagreon triple so the area would be (6*8)/2 = 48/2 = 24. But if you don't know that 6-8-10 is 3-4-5 multiplied by 2, you can use the pythagreon theorem to find the third side: sqrt(6^2 + 8^2) = sqrt(36+64) = sqrt(100) = 10 and find the area the same way from that.
2. The triangle sum theorem states the three angles in a triangle sum to 180 degrees. Since we know two angles, the third one must be: 135+30+x=180 ⟹ 165+x=180 ⟹ x = 180-165 ⟹ x = 15. Therefore angle BAC = 15 degrees.