A comer store sells two kinds of baked goods: cakes and pies. A cake costs $8 and a pie costs $11. In one day, the store sold 11 baked goods for a total of $112. How many cakes did they sell?
a. 3 cakes
c. 2 cakes
b 11 cakes
d. 8 cakes

8  number of cakes were sold.

Step-by-step explanation:

Out of 12 baked goods sold , let the number of cakes sold be x in number and pies sold were 12 − x in number. Total sell was $ 144 , 1 cake costs $ 14 and 1 pie costs $ 8 ∴ 14 ⋅ x + ( 12 − x ) ⋅ 8 = 144 or 14 x − 8 x = 144 − 96 or 6 x = 48 ∴ x = 8 Therefore, 8 cakes were sold [Ans]

3 cakes

Step-by-step explanation:

3x8=24

112-24=88

88/11=8

3cakes +8 pies= 11 baked goods

step-by-step explanation:

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

or, 130% of $420 is 1.3($420) = $546.

notice that this is not the $600 original list price with which we started.

why doesn't this work?

the method does not work because 30% of $420 is not the same amount as the 30% of $600. it may seem obvious when stated this way, but it is a very common error made on problems of this type. we cannot just use the same percent and get back to the original amount because we are taking that percent of a different value.

to work problems of this type correctly, it is generally best to write an equation for the situation and then solve.

example: since (100% – 30%)(original price) = (sale price)

70% of the   (original price) is $420.

0.7x   = 420

equation image indicator

x = 600

the original cost was $600.

we may also solve this problem using the two-step method. working the problem in two steps requires us to use more algebra skills. we have to know that x = 1x (identity property of multiplicationtext annotation indicator) and that 1x – 0.3x = 0.7x (subtracting like terms). then we solve the problem as follows:

(original price) – 30%(original price) = sale price

x – 0.3x = 420

0.7x = $420

equation image indicator

x = 600

the original cost was $600.  

note that with both of the above methods we do obtain the correct original amount.

example: after a 5% pay raise, hermione is earning $22,680 per year. what was she earning before the pay raise?

105% of (original salary) = current salary

1.05x = 22,680

equation image indicator

x = 21,600

hermione earned $21,600 per year before the pay raise.

this is an example so maybe you will get how to at least do it!

4400

step-by-step explanation: