A customer buys five cans of baked beans, four packets of brown sugar and two packets of biscuits from a supermarket.He gives the cashier R150.00 and gets R26.00 in change. A can of baked beans costs half as much as a packet of biscuits whilst a packet of sugar is R3.00 cheaper than a packet of biscuits.1.How much did all the items cost?
2.Calculate the cost of a can of baked beans, a packet of sugar and a packet of biscuits.
3.How much will 8 cans of baked beans,1 packet of sugar and 6 packets of biscuits cost?
Answers
Let baked beans be x
Let brown sugar be y
Let biscuits be z
5x + 4y + 2z = 150 - 26
5x + 4y + 2z = 124
a can of baked beens costs half as much as a packet of biscuits:
x = 1/2 * z = z/2
a packet of sugar is 3.00 cheaper than a packet of biscuits
y = z - 3
We substitute x and y with its values:
5x + 4y + 2z = 124 ; x = z/2 ; y = z-3
5(z/2) + 4(z-3) + 2z = 124
5z/2 + 4z - 12 + 2z = 124
5z/2 + 6z = 124 + 12
2(5z/2 + 6z) = 2(136)
5z + 12z = 272
17z = 272
z = 272/17
z = 16 price of a packet of biscuits.
can of baked beans : x = z/2 ; x = 16/2 = 8
packet of sugar : y = z - 3 ; y = 16 - 3 = 13
5x + 4y + 2z = 124
5(8) + 4(13) + 2(16) = 124
40 + 52 + 32 = 124
124 = 124
Related Questions
Let v = 25.What is the value of v – 5? A. 5 B. 20 C. 25 D. 30
suppose that x and y very inversely and that y=8/3 when x =8, write a function that models the inverse variation and find y when x = 4
Solve for t(advanced rational equations)
Explain why 83×93 is not the prime factorization of 7,719í
Answers
The formula is as follows:
P: Principal Amount : $273
r: Rate of interest: 5%
n: number of times the interest is compounded: 4 (Since Quarterly)
t: number of years : 5
x + y = 4
x − y = 6
Answers
Answer:
x=5 , y= -1
Step-by-step explanation:
You can see that one of the y's is negative while the other is positive, so you can add them together.
Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.
Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.
You can simplify that into x=5. This gives you the answer for x
Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.
Simplified, y= -1
Therefore, x= 5 and y=-1
Answer:
(5,-1)
Step-by-step explanation:
Got it right on edge cause of the guy above me
Answers
Now we can apply the area formula for triangles;
Answers
10 - 2 + 6 + 14 + ... + 110
where: a 1 = - 10, d = 8
a n = 110
a n = a 1 + ( n - 1 ) * d
110 = - 10 + ( n - 1 ) * 8
110 = - 10 + 8 n - 8
110 + 10 + 8 = 8 n
128 = 8 n
n = 128 : 8
n = 16
∑ n = n/2 * ( a 1 + a n )
∑ 16 = 16/2 * ( -10 + 110 ) = 8 * 100 = 800
Answer:
The sum is 800.
The answer is summation of the quantity negative ten plus eight n from n equals zero to fifteen
Answers
Answer:
Step-by-step explanation:
the answer is C. 5x + 30 = 12x. I just took the test and made a 100 ;)