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Vladimir79 [104]
2 years ago
8

A mom shared $490 between her 2 daughters in the ratio of 4 : 3 respectively. Calculate how much money is the larger share?

Mathematics
1 answer:
Natali [406]2 years ago
6 0

Step-by-step explanation:

let ratio be 4x and 3x

sum : 490$

4x+3x = 490

7x=490

x=490/7

Hence x = 70

first daughter gets = 4x =4 x 70 = 280

second daughter gets =3x = 3x 70 = 210

first daugter gets the larger share

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Two investments totaling $21,000 produce an annual income of $870. One investment yields 4% per year, while the other yields 10%
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Answer:

The amount invested at 4% is $20,500 and the amount invested at 10% is $500

Step-by-step explanation:

Let

x -----> the amount invested at 4%

(21,000 -x) ----> the amount invested at 10%

we know that

The interest of the amount invested at 4% plus the interest of the amount invested at 10% must be equal to $870

4\%=4/100=0.04

10\%=10/100=0.10

so

0.04(x)+0.10(21,000-x)=870

Solve for x

0.04x+2,100-0.10x=870

0.10x-0.04x=2,100-870

0.06x=1,230

x=\$20,500

21,000-x=\$500

therefore

The amount invested at 4% is $20,500 and the amount invested at 10% is $500

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