Sarah and Gavyn win some money and share it in the ratio 5:3. Sarah gets £26 more than Gavyn. How much did Gavyn get?
1 answer:
Answer:
£39
Step-by-step explanation:
Let Gavyn's share = x
Since, Sarah gets £26 more than Gavyn.
Sarah's Share = x+26
Equating the Ratio of their Shares and the actual sum received
x+26 : x = 5:3
Converting to Fractions
Cross multiply
5x=3(x+26)
5x=3x+78
5x-3x=78
2x=78
Divide both sides by 2
x=39
Therefore: Gavyn's share x = £39
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Answer:
Pair 1: 10 cm and 2 cm. and the sum is 12 cm.
Pair 2: 20 cm and 4 cm. and the sum is 24 cm.
Step-by-step explanation:
Area of a rectangle is given by A = LW, where L is the length and W is the width of the rectangle.
Pair 1:
For the first rectangle W = 4 cm and A = 40 sq, cm
Then cm.
For the second rectangle W = 4 cm and A = 8 sq, cm
Then cm.
Therefore, the sum of two unknown lengths = 10 + 2 = 12 cm. (Answer)
Pair 2:
For the first rectangle W = 4 cm and A = 80 sq, cm
Then cm.
For the second rectangle W = 4 cm and A = 16 sq, cm
Then cm.
Therefore, the sum of two unknown lengths = 20 + 4 = 24 cm. (Answer)