Three different blends of coffee beans – Blend $A$, Blend $B$ and Blend $C$ – are sold at both

Question

Three different blends of coffee beans – Blend $A$, Blend $B$ and Blend $C$ – are sold at both M Café and I Café. The usual selling prices of the blends are the same at both cafés. The total cost of buying one package each of Blend $A$, Blend $B$ and Blend $C$ is $\$$ $176$. During a holiday sale, the two cafés offered the following discounts:

Café	Discounts given for each package			Total price after the discount
Café	Blend A	Blend B	Blend C	Total price after the discount
M Café	$15\%$	$10\%$	$5\%$	$\$161.80$
I Café	$7\%$	$5\%$	$2\%$	$\$169.56$

Find the usual selling price of each package of Blend $A$, Blend $B$ and Blend $C$ coffee beans respectively.[3]

Loyal customers of I Café receive an additional discount of $x\%$ on the usual selling price of the packages for Blend $A$ and Blend $B$ only. (This loyalty discount is calculated as $x\%$ of the usual price of each package and is subtracted from the sale prices above.)

I Café wants the total cost for its loyal customers to be less than the total cost at M Café when buying one of each package of the three blends.

Form an inequality and find the smallest integer value of $x$.[3]

Accepted Answer

(i) Blend A: $32; Blend B: $44; Blend C: $100. (ii) $169.56-0.76x<161.80$, giving the smallest integer $x=11$.

2025 MI P1 Q4

2025 MI P1 Q4

Solution:

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