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3.5 c-1.5 d >= 50
Esa's Pastries sells cupcakes for 
$3.50 each and donuts for 
$1.50 each. The given inequality represents the difference, in dollars, between cupcake sales and donut sales on a typical day based on 
c, the number of cupcakes sold and 
d, the number of donuts sold. If Esa sold 200 donuts on a typical day, what is the minimum number of cupcakes she sold on that day?

3.5c1.5d50 3.5 c-1.5 d \geq 50 \newlineEsa's Pastries sells cupcakes for $3.50 \$ 3.50 each and donuts for $1.50 \$ 1.50 each. The given inequality represents the difference, in dollars, between cupcake sales and donut sales on a typical day based on c c , the number of cupcakes sold and d d , the number of donuts sold. If Esa sold 200200 donuts on a typical day, what is the minimum number of cupcakes she sold on that day?

Full solution

Q. 3.5c1.5d50 3.5 c-1.5 d \geq 50 \newlineEsa's Pastries sells cupcakes for $3.50 \$ 3.50 each and donuts for $1.50 \$ 1.50 each. The given inequality represents the difference, in dollars, between cupcake sales and donut sales on a typical day based on c c , the number of cupcakes sold and d d , the number of donuts sold. If Esa sold 200200 donuts on a typical day, what is the minimum number of cupcakes she sold on that day?
  1. Substitute value of d: Substitute the value of dd in the inequality.3.5c1.5(200)503.5c - 1.5(200) \geq 50Calculation: 3.5c300503.5c - 300 \geq 50
  2. Isolate c: Isolate c by solving the inequality.\newline3.5c300+30050+3003.5c - 300 + 300 \geq 50 + 300\newlineCalculation: 3.5c3503.5c \geq 350
  3. Divide to find cc: Divide both sides by 3.53.5 to find cc.c3503.5c \geq \frac{350}{3.5}Calculation: c100c \geq 100

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