Answer:
S = £1.28
Step-by-step explanation:
Let the small, medium and large cakes be S, M and L respectively.
Given the following data;
Total profits = £532.48
Total number of cake = 192 cakes
Ratio of S:M:L = 7:6:11
Sum of ratio = 7+6+11 = 24
To find number of each cakes, we would divide the total number of cakes by the sum of ratio;
Number of each cakes = 192/24
Number of each cakes = 8
Next, we determine the exact number of each type of cakes.
Small = 7*8 = 56 cakes.
Medium = 6*8 = 48 cakes.
Large = 11*8 = 88 cakes.
For the profits;
Translating the word problem into an algebraic expression, we have;
M = 2S
L = 3S
56S + 48*(2S) + 88*(3S) = £532.48
56S + 96S + 264S = 532.48
416S = 532.48
S = 532.48/416
S = £1.28
Therefore, the profit for one small cake is £1.28
Answer:
Step-by-step explanation:
y = - 9
y^2 = (-9)^2 = 81
AND
z = 0.7
z^2 = (0.7)^2 = 0.49
Hope it helped
Step-by-step explanation:
Hers your answer friend
Answer: i. Cost of adult ticket = $ 30
ii. Cost of child ticket = $20
Step-by-step explanation:
Define variables:
Let x= cost of 1 adult tickets , y= cost of 1 child tickets.
Form linear equations:
5x+3y = 210 (i)
2x+5y= 160 (ii)
Multiply (i) by 2 and (ii) by 5
10x +6y = 420 (iii)
10x+25y = 800 (iv)
Eliminate (iii) from (iv)
19y = 380
⇒ y= 20
Put this in (i)
Hence, Cost of adult ticket = $ 30 and Cost of child ticket = $20
Use long multiplication to evaluate.
83538
