Question

Lauryn needs to go to Target for school supplies. She needs one binder, five notebooks, and some pens and pencils. Lauryn has $40 to spend. Binders cost $12.50 each, the notebooks are $3.25 each, and the packs of pens and pencils are $2.50 each. Given her budget how many packs of pens and pencils can she purchase?Is it possible for lauryn to purchase 3 packs ? YES or NOIs it possible for lauryn to purchase 6 packs? YES or NO Is it in lauryn's budget to purchase 2 binders , 6 notebook, and 2 pack of pens/pencils? YES or NO

Answer 1

Data:

Binder: b

Notebooks: n

pens adn pencils: p

Cost: C

Amount $: T

b=1

n=5

T= $40

Cb=$12.50

Cn=$3.25

Cp=$2.50

As Laurtn have $40, this amount needs to be equal to the add to the cost of each item

`\begin{gathered} T=b(C_b)+n(C_n)+p(C_p)_{} \\ \\ 40=1(12.50)+5(3.25)+p(2.50) \\ \\ 40=12.50+16.25+2.50p \\ \\ 40=28.75+2.50p \\ \end{gathered}`

To find the number of packs of pen and pencils can she purcase you solve for p:

`\begin{gathered} 40=28.75+2.50p \\ 40-28.75=2.50p \\ 11.25=2.50p \\ (11.25)/(2.50)=p \\ 4.5=p \end{gathered}`Then, she can purchase 4.5 packs of pens and pencils.Yes, she can purchase 3 packsNo, she cannot purchase 6 packs-------------------------------------------

b=2

n=6

p=2

`\begin{gathered} T=b(C_b)+n(C_n)+p(C_p)_{} \\ \\ T=2(12.50)+6(3.25)+2(2.50)= \\ T=25+19.5+5 \\ T=49.5 \end{gathered}`

No, the budget of Laundry c