Sandy and Steve share some prize money in the ratio 4:3. The prize money totaled $1400 How much does Sandy receive ?

Sandy will receive $800

Steve will receive $600

Step-by-step explanation:

Sandy : Steve = 4 : 3

Sandy = 4

Steve = 3

Total ratio = 4 + 3 = 7

Total prize money = $1400

How much does Sandy receive ?

Sandy's share = Sandy's ratio / total ratio × Total prize money

= 4 / 7 × 1400

= 4 × 200

= $800

Sandy will receive $800 out of $1400

Steve's share = Steve's ratio / total ratio × Total prize money

= 3 / 7 × $1400

= 3 × $200

= $600

Steve will receive $600 out of $1400

Check:

Sandy's share + Steve's share

= $800 + $600

= $1400

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