Respuesta :
Answer:
Andy bought = 13 cakes.
Betty bought = 52 cakes.
Colin bought = 16 cakes.
Step-by-step explanation:
We are told that Andy buys x cakes. Betty buys 4 times as many cakes as Andy. So number of cakes bought by Betty will be 4*x.
We are also told that Colin buys 3 more cakes than Andy. So number of cakes bought by Colin will be x+3 cakes.
Each cake costs 65 p. The total cost of the cakes is $52.65. We can represent this information as:
[tex]0.65(x+4*x+x+3)=52.65[/tex]
[tex]0.65(2x+4*x+3)=52.65[/tex]
[tex]1.3x+2.6x+1.95=52.65[/tex]
Let us combine like terms.
[tex](1.3+2.6)x+1.95=52.65[/tex]
[tex]3.9x+1.95=52.65[/tex]
[tex]3.9x=52.65-1.95[/tex]
[tex]3.9x=50.7[/tex]
[tex]x=13[/tex]
Therefore, Andy bought 13 cakes.
Let us find number of cakes bought by Betty by substituting x=13 in expression 4*x.
[tex]\text{Cakes bought by Betty}=4*13[/tex]
[tex]\text{Cakes bought by Betty}=52[/tex]
Therefore, Betty bought 52 cakes.
Now we will find number of cakes bought by Colin by substituting x=13 in expression x+3.
[tex]\text{Cakes bought by Colin}=13+3[/tex]
[tex]\text{Cakes bought by Colin}=16[/tex]
Therefore, Colin bought 16 cakes.
Answer:
Andy bought = 13 cakes.
Betty bought = 52 cakes.
Colin bought = 16 cakes.
Step-by-step explanation:
We are told that Andy buys x cakes. Betty buys 4 times as many cakes as Andy. So number of cakes bought by Betty will be 4*x.
We are also told that Colin buys 3 more cakes than Andy. So number of cakes bought by Colin will be x+3 cakes.
Each cake costs 65 p. The total cost of the cakes is $52.65. We can represent this information as:
Let us combine like terms.
Therefore, Andy bought 13 cakes.
Let us find number of cakes bought by Betty by substituting x=13 in expression 4*x.
Therefore, Betty bought 52 cakes.
Now we will find number of cakes bought by Colin by substituting x=13 in expression x+3.
Therefore, Colin bought 16 cakes.
