Question

Megan and Heidi are making cookies for an upcoming bake sale. Megan is making chocolate chip cookies and Heidi is making sugar cookies. If Megan plans to make x bags of cookies, the equation below represents the total number of cookies she will need to make. y= 8x
Heidi recorded the total number of cookies she would need to make in the table.
Bags Total Number
of Cookies
10 50
12 60
14 70
16 80
If Megan and Heidi make the same number of bags of cookies, who will have to make the least amount of cookies?

Answer 1

Answer:

Heidi (260 cookies)

Step-by-step explanation:

Megan's equation is given as y=8x, where x is the number of bags, and y the number of cookies:

#First calculate Heidi's total number of bags, cookies and cookies:

$H_b=\sum{bags}\\\\=10+12+14+16\\\\=52 \ bags\\\\H_c=\sum{cookies}\\\\=50+60+70+80\\\\=260 \ cookies$

#Given that both Heidi and Megan make the same number of bags of cookies, Megan's cookies totals to:

$H_b=M_B=52 \ Bags\\\\M_c=y=8x, x=52\\\\y=8\times 52\\\\=416$

Hence, Megan makes 416 cookies.

#From our calculations:

$416>260\\\\M_c>H_c$

Hence, Heidi makes the least number of cookies(260 cookies) compared to Megan's 416 cookies.