3.5c−1.5d≥50Esa'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?
Q. 3.5c−1.5d≥50Esa'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?
Substitute value of d: Substitute the value of d in the inequality.3.5c−1.5(200)≥50Calculation: 3.5c−300≥50
Isolate c: Isolate c by solving the inequality.3.5c−300+300≥50+300Calculation: 3.5c≥350
Divide to find c: Divide both sides by 3.5 to find c.c≥3.5350Calculation: c≥100
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