Twelve boys collected 16 aluminum cans each. Fifteen girls collected 14 aluminum cans each. How many more cans did the girls collect than boys?
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you need to find the total cans collected by boys and girls. To do this you multiply 16 and 12 for the guys cans and 15 and 14 for the girls cans.
Once you have your products you subtract them and you'll get 18 :)
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The quotient remainder theorem: Given any integer A, and a positive integer B, there exist unique integers Q and R such that
A= B · Q + R where 0 ≤ R < B.
Q is called quotient and R is called remainder.
According to this theorem, when you divide any number by 41, you can obtain remainder R such that 0 ≤ R < 41. Then the greatest possible whole number remainder is 40.
40.
Explanation:
When we divide by 41, we are seeing how many times 41 will go into that number. If we had a remainder of 41 or larger, that means 41 would go into it again, which would change our answer. This means that 40 is the largest remainder we could possibly have.
Answers
To calculate the total surface area of a three-tier wedding cake and determine the number of frosting cans needed, we use the formula for the surface area of a square prism. The total surface area of the cake is 1848 square inches. As each can covers 250 square inches, we would need to buy 8 cans.
In this task, we are asked to calculate the total surface area of a three-tiered wedding cake made of square prisms to determine how many cans of frosting are needed. Each tier has a different length but they all share the same height. The surface area of a square prism is calculated by using the formula 2(a² + 4ah), where 'a' is the length of a side and 'h' is the height.
The total surface area for each tier becomes:
- Bottom Tier: 2*(20^2 + 4*20*6) = 880 square inches
- Middle Tier: 2*(14^2 + 4*14*6) = 616 square inches
- Top Tier: 2*(8^2 + 4*8*6) = 352 square inches
Add these together to get the total surface area for the whole cake, which is 1848 square inches. As each can of frosting can cover 250 square inches, you will need to divide 1848 by 250. This gives approximately 7.4, so you would need to buy 8 cans of frosting to fully cover the cake (as we can't buy partial cans).
Learn more about Surface Area here:
#SPJ2
Used Area from bottom box (green)= All 4 vertical faces +EFGH-IJKL
=(20*6+6*6+20*6+6*6)+20*6-14*6= 348 Square inches ...(i)
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Used Area from middle box (Blue)= All 4 vertical faces +MNOP-QRST
=(14*6+6*6+14*6+6*6)+14*6-8*6=276 square inches...(ii)
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Used Area from top box (Brown)= All 4 vertical faces +UVWX
=(8*6+6*6+8*6+6*6)+8*6=216 square inches...(iii)
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so the surface area of the cake to be covered= 348+276+216=840 square inches.
given that 1 can covers 250 square inches
so number of cans needed = 840/250=3.36
which means 4 cans needed.