Question

Sam baked an equal number of sausage buns and
custard buns. During the day, 68 sausage buns were
sold. Sam also baked another 27 custard buns to meet a last-minute
order. At the end of the day, Sam had baked 6 times as many custard
buns as the number of sausage buns remaining. How many sausage
buns did Sam bake at first?

Answer 1

Answer:

87

Step-by-step explanation:

number of sausage buns = s

number of custard buns = c

at the start of the day, s = c

at the end of the day

c+27=6(s-68)

since c = s,

s+27=6(s-68)

s+27=6s-408

-5s = -435

s=87

Answer 2

Let us represent:

The number of sausages baked at first =  s

The number of custard buns baked at first =  c

• During the day, 68 sausage buns were  sold. This can be expressed using algebraic equations as:

       s - 68

• Sam also baked another 27 custard buns to meet a last-minute  order. This can be expressed using algebra as:

        c + 27

• At the end of the day, Sam had baked 6 times as many custard  buns as the number of sausage buns remaining.

Hence:

c + 27 = 6 (s - 68)

c + 27 = 6s - 408

• Note: Sam baked an equal number of sausage buns and custard buns. This means:

        c = s

Hence,

c + 27 = 6s - 408

s + 27 = 6s - 408

Collect like terms

408 + 27 = 6s - s

435 = 5s

Divide both sides by 5

435/5 = 5s/5

s = 87

Therefore, the number of sausage buns Sam baked at first is 87 sausage buns.

To learn more, visit the link below:

https://brainly.com/question/2237530