Which scenario has the system of linear equations: x plus y equals six…three x plus two y equals fourteen ?

Katie bought six dollars and three dollars pastries at the bakery. She bought 5 pastries and spent fourteen dollars.

Katie bought two dollars and six dollars pastries at the bakery. She bought 3 pastries and spent fourteen dollars.

Katie bought three dollars and two dollars pastries at the bakery. She bought 5 pastries and spent fourteen dollars.

Katie bought two dollars and three dollars pastries at the bakery. She bought 6 pastries and spent fourteen dollars.

Question

Which scenario has the system of linear equations: x plus y equals six…three x plus two y equals fourteen ?

Katie bought six dollars and three dollars pastries at the bakery. She bought 5 pastries and spent fourteen dollars.

Katie bought two dollars and six dollars pastries at the bakery. She bought 3 pastries and spent fourteen dollars.

Katie bought three dollars and two dollars pastries at the bakery. She bought 5 pastries and spent fourteen dollars.

Katie bought two dollars and three dollars pastries at the bakery. She bought 6 pastries and spent fourteen dollars.

jim_thompson5910 · Answer

for me, it helps to write the equations out in numbers (instead of words), so let's do that first


x+y = 6
3x+2y = 14

ttp · Answer

Okay x+y=6
       3x+2y=14}?

calculusxy · Answer

D I believe since u are buying 6 pastries for $14.

jim_thompson5910 · Answer

so if x was the number of 3 dollar pastries and y is the number of 2 dollar pastries, then

x+y = 6

represents the idea that you are buying 6 pastries total

jim_thompson5910 · Answer

if x = the number of 3 dollar pastries, then it will cost 3x dollars to buy x of them

if y = the number of 2 dollar pastries, then it will cost 2y dollars to buy y of them


so in total, it will cost 3x+2y dollars to buy x+y total pastries and because this total cost is 14, we say 

3x+2y = 14

ttp · Answer

So D!

jim_thompson5910 · Answer

calculusxy is correct