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Sam got a new job with a $7.00 per hour raise. He worked for 5 hours and got paid $85.00. How much did he make before the raise?
A. $10.00 per hour
B. $11.00 per hour
C. $12.00 per hour
D. $13.00 per hour

Julia knows 19 Latin words. Each day, she learns 6 new words. How many days until she knows 145?
A. 20
B. 21
C. 22
D. 23

Claire has a part-time job walking dogs Monday through Friday. Business has really increased. She is walking 3 more dogs per day than she did last week. If she walked a total of 35 dogs this week, how many dogs did she walk per day last week?
A. 2
B. 3
C. 4
D. 5

Kayla needs to have $560.00 to buy a new laptop. She already has $200.00 in the bank. Each month she will add $45.00 to her bank account. How many more months until she has enough money to buy her laptop?
A. 5
B. 6
C. 7
D. 8

Mark bought a notebook for $1.45 and some pencils that cost $0.42 each. If total cost was $6.91, how many pencils did he buy?

A. 12
B. 13
C. 14
D. 15

Respuesta :

1.) A. $10.00 per hour
2.) B. 21 days
3.) A. 2
4.) D. 8
5.) B. 13
calculista

Part a) Sam got a new job with a $7.00 per hour raise. He worked for 5 hours and got paid $85.00. How much did he make before the raise?

Let

x--------> amount that Sam earned before the raise

we know that

[tex] (x+7) *5 =85 [/tex]

Solve for x

[tex] 5x+35 =85 [/tex]

[tex] 5x =85-35 [/tex]

[tex] 5x =50 [/tex]

[tex] x=10\ dollars\ per\ hour [/tex]

therefore

the answer Part a) is the option

A. $10.00 per hour

Part b) Julia knows 19 Latin words. Each day, she learns 6 new words. How many days until she knows 145?

Let

x-------> the number of days

y-------> the total words Julia Knows

we know that

[tex] y=19+6x [/tex] ------> equation [tex] 1 [/tex]

For y=[tex] 145 [/tex]

Find the value of x

Substitute in the equation [tex] 1 [/tex] the value of y

[tex] 145=19+6x [/tex]

[tex] 6x=145-19 [/tex]

[tex] 6x=126 [/tex]

[tex] x=21\ days [/tex]

therefore

the answer Part b) is the option

B. 21

Part c) Claire has a part-time job walking dogs Monday through Friday. Business has really increased. She is walking 3 more dogs per day than she did last week. If she walked a total of 35 dogs this week, how many dogs did she walk per day last week?

Let

x--------> the number of dogs that Claire walked last week per day

we know that

[tex] x=\frac{35}{5} -3\\\\ x=7-3\\\\x=4\ dogs\ per\ day [/tex]

therefore

the answer Part c) is the option

C. 4

Part d) Kayla needs to have $560.00 to buy a new laptop. She already has $200.00 in the bank. Each month she will add $45.00 to her bank account. How many more months until she has enough money to buy her laptop?

Let

x--------> the number of months

y-------> amount in the bank account in dollars

we know that

[tex] y=45x+200 [/tex]

Find the value of x for y=[tex] 560 [/tex]

[tex] 560=45x+200 [/tex]

[tex] 45x=560-200 [/tex]

[tex] 45x=360 [/tex]

[tex] x=8\ days [/tex]

therefore

the answer part d) is the option

D. 8

Part e) Mark bought a notebook for $1.45 and some pencils that cost $0.42 each. If total cost was $6.91, how many pencils did he buy?

Let

x------> the number of pencil

we know that

[tex] 6.91= 1.45+0.42x\\\\ 0.42x=6.91-1.45\\\\ 0.42x= 5.46\\\\ x= 13\ pencils [/tex]

therefore

the answer part e) is the option

B. 13

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