Tell us three types of biscuits for a coffee morning she has digestives custard creams and shortbread in the ratio of 253 the digestives Harry the chocolate or plain the ratio of chocolate digestives to plain digestives is 3 to 2 Callie has 18 chocolate digestives calculate the total number of biscuits
To find the total number of biscuits, we need to calculate the number of each type of biscuit and then sum them up.
Let's start with the ratio between digestives, custard creams, and shortbread: 253.
This ratio means that for every 2 custard creams, there are 5 shortbread, and there are 3 + 5 = 8 digestives.
Now, let's calculate the number of plain and chocolate digestives using the given ratio: 3 to 2.
For every 2 parts of plain digestives, there are 3 parts of chocolate digestives.
Since Callie has 18 chocolate digestives, we can calculate the number of plain digestives as (18 * 2) / 3 = 12.
Next, let's calculate the total number of biscuits:
- Digestives: 8 (given in the ratio)
- Custard creams: 2 * 8 = 16 (based on the ratio)
- Shortbread: 5 * 8 = 40 (based on the ratio)
- Chocolate digestives: 18
- Plain digestives: 12
Total number of biscuits = 8 + 16 + 40 + 18 + 12 = 94 biscuits.
To calculate the total number of biscuits, we need to take into account the ratios given for each type of biscuit.
1. Let's start with the digestives. The ratio of digestives given is 253, which means there are 2 + 5 + 3 = 10 parts in total.
- Since Harry the chocolate digestives and plain digestives have a ratio of 3 to 2, this means there are 3 parts of chocolate digestives and 2 parts of plain digestives in the ratio 253.
- Therefore, we can calculate the number of parts for each type of biscuit as follows:
- Chocolate digestives: (3/5) * 253 = 151.8 parts (rounded to the nearest whole number)
- Plain digestives: (2/5) * 253 = 101.2 parts (rounded to the nearest whole number)
2. According to the given information, Callie has 18 chocolate digestives. Using this information, we can calculate the number of chocolate digestives per part:
- Chocolate digestives per part: 18 / 151.8 = 0.1186 (rounded to four decimal places)
3. Finally, we can calculate the total number of biscuits by multiplying the chocolate digestives per part by the total number of parts for each type of biscuit and summing them up:
- Total number of biscuits: 18 + 0.1186 * (151.8 + 101.2) = 38.3918 (rounded to four decimal places)
Therefore, the total number of biscuits for the coffee morning is approximately 38.392 (rounded to three decimal places).
To calculate the total number of biscuits, we need to know the ratios and quantities of each type of biscuit given.
1. Digestives: In the ratio of 2:5:3, the total ratio is 2 + 5 + 3 = 10 parts. Let's find out how many parts represent 1 unit.
1 unit = Total ratio / 10 = (2 + 5 + 3) / 10 = 10 / 10 = 1 unit
So, 1 unit represents 1 type of biscuit.
Now, we can find the quantity of digestives.
Digestives = 1 * 253 = 253 biscuits
2. Chocolate digestives: In the ratio of 3:2 with plain digestives, we know that the quantity of chocolate digestives is 18. Let's find out the quantity of plain digestives.
Ratio of chocolate digestives to plain digestives = 3:2
Chocolate digestives = 3 units
Plain digestives = 2 units
Given that Chocolate digestives = 18, we can set up a proportion:
3 units / 18 = 2 units / X
Solving for X (the unknown quantity of plain digestives):
3X = 2 * 18
3X = 36
X = 36 / 3
X = 12
So, the quantity of plain digestives is 12 biscuits.
3. Custard creams and Shortbread: The quantities of these biscuits are not given. In the question, it states there are "digestives, custard creams, and shortbread" in the ratio of 2:5:3. However, since the quantities are not provided, we cannot calculate the total number of these biscuits.
Thus, the total number of biscuits is the sum of the quantities of all the types of biscuits:
Total number of biscuits = Digestives + Chocolate Digestives + Plain Digestives + Custard Creams + Shortbread
= 253 + 18 + 12 + (unknown quantity of custard creams) + (unknown quantity of shortbread)