Aboy bought 3 cakes and 4 pies from a shop and received $7.50 change from $40. if he had bought 4 cakes and 3 pies from the same shop, then he would have received $0.75 change instead. how much did he pay for each cake and each pie?

the cost of a cake is $8.5

the cost of a pie is $1.75

Step-by-step explanation:

Let x = the cost of a cake

Let y = the cost of a pie

A boy bought 3 cakes and 4 pies from a shop and received $7.50 change from $40. This means that the cost of the 3 cakes and 4 pies is 40-7.5 = $32.5. Therefore,

3x + 4y = 32.5 - - - - - - - -1

If he had bought 4 cakes and 3 pies from the same shop, then he would have received $0.75. This means that the cost of the 4 cakes and 3 pies is 40-0.75 = $39.25. Therefore,

4x + 3y = 39.25 - - - - - - - -2

Multiply equation 1 by 4 and equation 2 by 3. It becomes

12x + 16y = 130

12x + 9y = 117.75

Subtracting ,

7y = 12.25

y = 12.25/7 = 1.75

From equation 1,

3x = 32.5 - 4y

3x = 32.5 - 4×1.75 = 32.5 - 7

3x = 25.5

x = 25.5/3 = $8.5

d

step-by-step explanation:

the 2000 florida legislature amended section 322.05, florida statutes, changing the requirements to obtain a class e license for a driver under the age of 18 holding a learner's license. the following requirements must be met in order to obtain a regular class e license if a learner's license is issued on or after october 1, 2000:

must hold a learner's license for at least 12 months or until the 18th birthday.

must have no convictions 12 months from the issue date of the learner's license.

may have one traffic conviction within 12 months from the issue date of the learner's license if adjudication is withheld.

a parent, legal guardian, or responsible adult over 21 years old must certify that the driver has 50 hours driving experience, including 10 hours of night time driving.