James sells two types of cupcakes. A basic chocolate cupcake is $2,75. His speciality chocolate covered strawberry cupcake is $3.75. He knows that he sold 185 cupcakes over the weekend and made $586.75, but he lost the paper that told him how many of each type of cupcake he sold. How many chocolate cupcakes and chocolate covered strawberry cupcakes
did he sell over the weekend?

107 chocolate cupcakes sold

78 chocolate covered strawberry cupcakes sold

Step-by-step explanation:

to solve one of these questions, you need to write two equations and then substitute back and forth to get the answer.

to start, we need to write an equation.

2.75c+3.75s=586.75

and c+s=185

reworking the second equation to isolate s, we'll then substitute it into the first one.

so s=185-c

2.75c+3.75(185-c)=586.75

2.75c+693.75-3.75c=586.75

combine like terms (the ones with a c variable attachment)

2.75c-3.75c=-1c

693.75-1c=586.75

-693.75

-107=-1c

/-1

107=c

put that back into the second equation

107+s=185

78=s

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl