Phil and Matt made cookies for a fundraiser at their high school.
 Phil made 25% more cookies than Matt  The cookies sold for $0.25 each  After the sale, 20% of the combined total of their cookies remained.
Part A
x = number of cookies Matt made 1.25x = number of cookies Phil made {Phil made 25% more cookies than Matt} A = total money earned A = (0.25)(0.8)(x + 1.25x) They sold 80% of the combined cookies made at $0.25 each.
Part B
From Part A x = number of cookies Matt made 1.25x = number of cookies Phil made {Phil made 25% more cookies than Matt} A = total money earned A = (0.25)(0.8)(x + 1.25x) {created equation from Part A} 72 = 0.25(0.8)(x + 1.25x) {substituted 72 in for A, the total earned} 72 = 0.2(2.25x) {multiplied and combined like terms} 72 = 0.45x {multiplied} x = 160 {divided each side by 0.45} Matt made 160 cookies 1.25x {represents the number of cookies Phil made} = 1.25(160) {substituted 160, in for x, into 1.25x} = 200 {multiplied} Phil made 200 cookies
Part C
This year, they made 360 cookies, selling 80% (288 cookies) at $0.25 each, which produced a total amount earned of $72.00. Next year, the are selling each for $0.50. They predict they will only need to sell 70% of the cookies. 70% of 360 cookies sold at $0.50 each = 360(0.7)(0.5) {multiplied cookies by percent sold by price each} = $126 {multiplied} Selling 70% of the 360 cookies at $0.50 each, instead of 80% of the 360 cookies at $0.25 each, will raise the income by $54. They should raise the price. Ask Algebra House Comments are closed.

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