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Jacob is buying a new set of DJ equipment. Jacob can afford one mixer and one turntable, and is trying to decide among 2 different mixers and 5 different turntables . There are 8 different speaker setups in Jacob's price range. How many different sets of DJ equipment can Jacob buy? square sets

Question

Jacob is buying a new set of DJ equipment. Jacob can afford one mixer and one turntable, and is trying to decide among 2 different mixers and 5 different turntables . There are 8 different speaker setups in Jacob's price range. How many different sets of DJ equipment can Jacob buy? square sets

Jacob is buying a new set of DJ equipment. Jacob can afford one mixer and one turntable,
and is trying to decide among 2 different mixers and 5 different turntables . There are 8
different speaker setups in Jacob's price range. How many different sets of DJ equipment can
Jacob buy?
square  sets

Solution

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VanceElite · Tutor for 8 years

Answer

### 80 sets

Explain

## Step 1: Mixer and Turntable Combinations<br />### Jacob has 2 choices for the mixer and 5 choices for the turntable. The number of mixer-turntable combinations is found by multiplying the number of choices for each: $2 \times 5 = 10$.<br /><br />## Step 2: Total Equipment Combinations<br />### Jacob also needs to choose a speaker setup. There are 8 speaker setups available. Since there are 10 mixer-turntable combinations and 8 speaker setups, the total number of equipment sets Jacob can buy is $10 \times 8 = 80$.
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